Two companies charge differently for canoe rentals, as shown below. What is the rate of change for each function? What is the cost to rent a canoe for 4 hours for each company? Company A: c = 8h + 10, where c = totals cost (in dollars) and h = number of hours Company B: $15 per hour

Respuesta :

The rate of change for company A is $8 an hour and it would cost $42 to rent a canoe for four hours from company A.

The rate of change for company B is $15 an hour and it would cost $60 to rent a canoe for four hours from company B.

Step-by-step explanation:

Step 1:

For company A, [tex]c = 8h + 10,[/tex] where c is the cost after h hours.

When [tex]h=1,[/tex] [tex]c = 8(1) + 10 = 18.[/tex]

When [tex]h=2,[/tex] [tex]c = 8(2) + 10 = 26.[/tex]

The rate of change for company A [tex]= 26 - 18 = 8.[/tex]

The rate of change for company A is $8 an hour.

When [tex]h=4,[/tex] [tex]c = 8(4) + 10 = 42.[/tex]

So it would cost $42 to rent a canoe for four hours from company A.

Step 2:

For company A, the cost is $15 per hour so [tex]c = 15h,[/tex] where c is the cost after h hours.

When [tex]h=1,[/tex] [tex]c =1(15) =15.[/tex]

When [tex]h=2,[/tex] [tex]c = 2(15)= 30.[/tex]

The rate of change for company B [tex]= 30 - 15 = 15.[/tex]

The rate of change for company B is $15 an hour.

When [tex]h=4,[/tex] [tex]c = 4(15) = 60.[/tex]

So it would cost $60 to rent a canoe for four hours from company B.