SOLUTION: 1. define a variable and write an equation to model each situation. then solve. the rate to rent a certain truck is $55 per day and 20 cents per mile. your family pays $80 to r

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 1. define a variable and write an equation to model each situation. then solve. the rate to rent a certain truck is $55 per day and 20 cents per mile. your family pays $80 to r      Log On


   

Question 114273This question is from textbook algebra 1
: 1. define a variable and write an equation to model each situation. then solve.
the rate to rent a certain truck is $55 per day and 20 cents per mile. your family pays $80 to rent this truck for one day. how many miles did your family drive?
2. 9j+3=3[3j+1]
3. 1 over four[k-1]=10
4. 5n+1/over 8=1/2 This question is from textbook algebra 1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
One problem per question.

To model this situation in general you need three variables, C to represent the total rate or cost (this is the dependent variable), d to represent the number of days the truck was rented, and m to represent the number of miles driven. (d and m are independent variables).

Let's translate the words into symbols:

The rate (C) is (=) $55 per day (55d) and (+) $0.20 per mile (.2m), or putting it all together:

C=55d%2B.2m

(Do you understand why I used $0.20 to represent 20 cents? If not, write me a note)

In your situation, you are given that C = $80, and that d = 1 day. So we can write:

80=55%2A1%2B.2m

Now solve:

.2m=80-55
.2m=25
m=125

So the family drove the truck 125 miles.

Last step -- VERY IMPORTANT, Check your answer.

55%2A1%2B.2%2A125=55%2B25=80Check!

Hope that helps,
John