SOLUTION: Jasmine has a cell phone service for which she pays $10 a month plus $0.05 per minute. My son has two questions to answer about the above sentence. 2. Graph the relationship

Click here to see ALL problems on Graphs

Question 60149: Jasmine has a cell phone service for which she pays $10 a month plus $0.05 per minute.
My son has two questions to answer about the above sentence.
2. Graph the relationship between the number of minutes and the cost of using the cell phone service.
3. Explain how the slope and the y-intercept relate to the situation.
Thanks for your help.
Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website!
Jasmine has a cell phone service for which she pays $10 a month plus $0.05 per minute.
This is called a linear equation because the phone bill raises in a straight line depending upon the number of minutes used.
y=mx+b [Use the slope-intercept form of the equation of a line]
y=any y-value on this line
m=the slope of the line
x=the corresponding x-value on this line
b=the point where the line crosses the y-axis. Also called the y-intercept
.
Re-interpreting the question:
y= any y value on this line (value not given)
m=$0.05 for every minute used.
x= any corresponding x-value on this line (value not given)
b=the flat fee that occurs each and every month regardless of the number of minutes used (this the y-intercept

.
So, the equation of this line is:
y= 0.05x+10 [Plug-in the values]
.
2. Graph the relationship between the number of minutes and the cost of using the cell phone service
.
3. Explain how the slope and the y-intercept relate to the situation.
The slope indicates that for every minute used, the bill increases by 0.05cents. The y-intercept indicates that the bill has a flat fee of $10.00 per month regardless of how many minutes are used.
Note: Try plugging-in different values for x (minutes) and solve the equation. You will see that as the x's increase, so does the phone bill. At x=0 (no phone calls), the bill is $10.00