Answer:
a) [tex] f(x) = 0.5 \frac{dollars}{day} x + 20[/tex]
[tex]g(x) = 0.55 \frac{dollars}{mi} x + 15[/tex]
b) [tex] f(70)=0.5*70 +20 =55[/tex]
[tex] g(70)= 0.55*70 + 15 =53.5[/tex]
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:
[tex] f(x) = 0.5 \frac{dollars}{day} x + 20[/tex]
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:
[tex]g(x) = 0.55 \frac{dollars}{mi} x + 15[/tex]
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:
[tex] f(70)=0.5*70 +20 =55[/tex]
[tex] g(70)= 0.55*70 + 15 =53.5[/tex]
If we want to minimize the cost then we should rent the Acme Truck company.
The cost of leasing the trucj for Ace Truck and Acme Truck are; f(x) = $20 + $0.50x and g(x) = $15 + $0.55x respectively
a) To find the daily cost of leasing from each company as a function of the number of miles driven.
According to the question;
For leasing from Ace Truck;
For leasing from Acme truck;
Read more on linear functions;
https://brainly.com/question/15602982
