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Chapter 4: Q. 339 (page 521)

Janelle is planning to rent a car while on vacation. The equation C=0.32m+15models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day.

(a) Find the cost if Janelle drives the car 0miles one day.

(b) Find the cost on a day when Janelle drives the car 400miles.

(c) Interpret the slope and C-intercept of the equation.

(d) Graph the equation.

Short Answer

Expert verified
  1. The cost if Janelle drives the car 0miles one day is $15.
  2. The cost on a day when Janelle drives the car 400miles is $143.
  3. The slope of C=0.32m+15is 0.32. This implies that when number of miles increases by 1 , the cost per day increases by $0.32. The C- intercept of the equation C=0.32m+15 is 15. This implies that when there is no miles covered by the car, the cost per day is$15.
  4. The graph of the given equation is shown below:

Step by step solution

01

Given information

The given equation is C=0.32m+15.

02

Determine the intersect

Substitute 0for min the given equation.

C=0.320+15=15

Substitute 400for min the given equation.

C=0.32(400)+15=143

03

Determine the slope and intercept of the given function and then graph the equation.

Compare the given equation with y=mx+cwhere mbe the slope and cbe the y-intercept.

m=0.32and c=15

For C-intercept, substitute 0for min the given equation.

C=0.32(0)+15=15

The graph of the given equation is shown below:

04

Write the conclusion

  1. The value of C when m=9 is 15.
  2. The value of C when m=400 is 143.
  3. The slope is 0.32 and C-intercept is 15.
  4. The graph is shown below:

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