document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73653>Question 73653</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130686085/algebrahomeworkh>Prentice Hall Mathematics Pre-Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi guys, I am not doing well with helping my son on these word problems. Will you please assist me with the four question I have submitted below. Thanks!\r<BR>\n" );
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document.write( "Hello, I have a few word problem questions. Please help with...\r<BR>\n" );
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document.write( "This is question # 32 on page 17 of the text book.<BR>\n" );
document.write( "1. A carnival charges $5 for admission plus $2 per ride.<BR>\n" );
document.write( "     a. Write an expression for the cost of admission plus r rides.<BR>\n" );
document.write( "     b. Find the cost of admission plus six rides.<BR>\n" );
document.write( "     c. How many rides can you afford if you have $15 to spend?\r<BR>\n" );
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document.write( "This is question # 16 on page 16 of the text book.\r<BR>\n" );
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document.write( "2. Online Purchasing - An online video store charges $24 for each DVD. Shipping costs $4 per order.<BR>\n" );
document.write( "    a. Write a variable expression for the cost of ordering DVDs.<BR>\n" );
document.write( "    b. Find the cost of ordering 3 DVDs.\r<BR>\n" );
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document.write( "This is question # 27 on page 16 of same text book.\r<BR>\n" );
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document.write( "3.  Marine Biology - Write an expression for the number of kilometers a dolphin travels in d hours swimming at 8 km/h. Then find the number of kilometers the dolphin travels in 3 hours. \r<BR>\n" );
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document.write( "Finally, this is question # 31\r<BR>\n" );
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document.write( "4.  A fitness club requires a $100 initiation fee and dues of $25 each month. Write an expression for the cost of membership for n months. Then find the cost of membership for one year.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52678 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Page 17...#32<BR>\n" );
document.write( "A carnival charges $5 for admission plus $2 per ride.<BR>\n" );
document.write( "a. Write an expression for the cost of admission plus r rides.<BR>\n" );
document.write( "The cost of admission is fixed at $5.<BR>\n" );
document.write( "The cost of rides is a variable and depends on the number of rides and here, this is called r. So you can write: The total cost is fixed cost ($5) plus $2 times the number of rides ($2(r))<BR>\n" );
document.write( "The cost of r rides is: $5+$2(r)<BR>\n" );
document.write( "b. Find the cost of admission plus 6 rides.<BR>\n" );
document.write( "Here, the variable r (number of rides) now has a value of 6, so you can substitute this value (6) in place of r in the expression in part a. This will then give you the total cost, which you can call C.<BR>\n" );
document.write( "From a. you have:<BR>\n" );
document.write( "C = $5+$2(r), but r = 6, so...<BR>\n" );
document.write( "C = $5+$2(6) Multiply the $2 times 6 = $12<BR>\n" );
document.write( "C = $5+$12 Add these.<BR>\n" );
document.write( "C = $17 This is the cost of admission plus 6 rides.<BR>\n" );
document.write( "c. How many rides can you afford if you have $15 to spend?<BR>\n" );
document.write( "Well, first, you know that you will have to spend $5 of your $15 just to get into the carnival. That's the admission charge. So now you have $10 ($15-$5 = $10) left for rides. How many rides can you get for $10? Let's use the equation for the total cost, C, we wrote in part b to find out:<BR>\n" );
document.write( "(C = $5+$2(r)) Since you have a total of $15 to spend, the total cost, C, is going to be $15, so you can set C = $15<BR>\n" );
document.write( "$15 = $5+$2(r) Now you do some algebra. Subtract $5 from both sides of this equation.<BR>\n" );
document.write( "$15-$5 = $5-$5+$2(r) Simplify this.<BR>\n" );
document.write( "$10 = $2(r) Now you want to get r by itself so you will divide both sides by $2.<BR>\n" );
document.write( "$10/$2 = $2(r)/$2 Simplify this.<BR>\n" );
document.write( "5 = r<BR>\n" );
document.write( "Answer: You can get 5 rides if you have $15 to spend.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "C = $5+$2(r) Substitute r = 5.<BR>\n" );
document.write( "C = $5+$2(5) Simplify.<BR>\n" );
document.write( "C = $5+$10<BR>\n" );
document.write( "C = $15 This is the total cost for 5 rides.<BR>\n" );
document.write( "I have to take a short break, but I shall return!<BR>\n" );
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document.write( "I'm back.<BR>\n" );
document.write( "Page 16....#16<BR>\n" );
document.write( "Here we have a fixed cost of $4 for shipping and a variable cost for the DVDs of $24 per DVD.  The variable cost will depend, of course, on the number of DVDs ordered, so you will want to give this variable a \"name\". Let's call it D (For DVD). Now you can write a variable expression for the for the cost of ordering DVDs.<BR>\n" );
document.write( "$4+D($24) This is the variable expression.<BR>\n" );
document.write( "The cost for ordering 3 DVDs can be found by letting the variable, D, = 3.<BR>\n" );
document.write( "Let's call the total cost, C, so you can write...<BR>\n" );
document.write( "C = $4+D($24) But D = 3 so substitute 3 for D in this equation.<BR>\n" );
document.write( "C = $4+3($24) Multiply the 3 times $24 = $72.<BR>\n" );
document.write( "C = $4+$72<BR>\n" );
document.write( "C = $76 This is the total cost of ordering 3 DVDs.<BR>\n" );
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document.write( "Page 16...#27<BR>\n" );
document.write( "For each hour the dolphin travels, it covers s distance of 8km. (8km/hr)<BR>\n" );
document.write( "If the dolphin travels for h hours, then the distance covered can be expressed by:<BR>\n" );
document.write( "(h)hrs*(8km/hr)<BR>\n" );
document.write( "Now if the dolphin travels for 3 hours, then you can set h = 3 and substitute this for h in the above expression.<BR>\n" );
document.write( "3hrs(8km/hr)= 24km<BR>\n" );
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document.write( "Page 17...#32<BR>\n" );
document.write( "Here, we have a fixed cost of $100 (initiation fee) and a variable cost of $25 per month. If n = the number of months, then you can express the cost of membership for n months as: Fixed cost plus variable cost, or...<BR>\n" );
document.write( "$100+n($25)<BR>\n" );
document.write( "To find the cost of membership for 1 year, you first must convert 1 year into 12 months.  Why, because the variable (n) in the above expression stands for the number of months, not years. So, let n = 12 (months) and substitute 12 for n in the expression. The cost of membership for 1 year (12 months) is:<BR>\n" );
document.write( "$100+12($25)= $100 + $300 = $400\r<BR>\n" );
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