Question

Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi. (a) Find the daily cost of leasing from each company as a function of the number of miles driven. (Let f(x) represent the daily cost of leasing from Ace Truck, g(x) the daily cost of leasing from Acme Truck, and x the number of miles driven.) f(x)

Answer 1

Answer:

a) $f(x) = 0.5 \frac{dollars}{day} x + 20$

$g(x) = 0.55 \frac{dollars}{mi} x + 15$

b) $f(70)=0.5*70 +20 =55$

$g(70)= 0.55*70 + 15 =53.5$

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

$f(x) = 0.5 \frac{dollars}{day} x + 20$

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

$g(x) = 0.55 \frac{dollars}{mi} x + 15$

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

$f(70)=0.5*70 +20 =55$

$g(70)= 0.55*70 + 15 =53.5$

If we want to minimize the cost then we should rent the Acme Truck company.