a rental car agency charges $28.00 per day and 28 cents per mile. (a) calculate the rental charge if you…

a rental car agency charges $28.00 per day and 28 cents per mile. (a) calculate the rental charge if you rent a car for 5 days and drive 400 miles. (round your answer to the nearest cent.) (b) use a formula to express the cost of renting a car as a function of the number of days you keep it and the number of miles you drive. (let d be the number of days you rent the car, m the number of miles you drive the car, and c the cost in dollars of renting the car.) c(d, m)=28d + 0.28m (c) it is about 250 miles from dallas to austin. use functional notation to express the cost to rent a car in dallas, drive it to austin, and return it in dallas 1 week later. use the formula from part (b) to calculate the cost. (round your answer to the nearest cent.) c( , ) = $

a rental car agency charges $28.00 per day and 28 cents per mile. (a) calculate the rental charge if you rent a car for 5 days and drive 400 miles. (round your answer to the nearest cent.) (b) use a formula to express the cost of renting a car as a function of the number of days you keep it and the number of miles you drive. (let d be the number of days you rent the car, m the number of miles you drive the car, and c the cost in dollars of renting the car.) c(d, m)=28d + 0.28m (c) it is about 250 miles from dallas to austin. use functional notation to express the cost to rent a car in dallas, drive it to austin, and return it in dallas 1 week later. use the formula from part (b) to calculate the cost. (round your answer to the nearest cent.) c( , ) = $

Answer

Explanation:

Step1: Identify values for d and m

The car is rented for 7 days (1 week), so $d = 7$. The round - trip distance from Dallas to Austin is $m=250\times2 = 500$ miles.

Step2: Substitute into the cost formula

The cost formula is $C(d,m)=28d + 0.28m$. Substitute $d = 7$ and $m = 500$ into the formula: $C(7,500)=28\times7+0.28\times500$.

Step3: Calculate the first term

$28\times7 = 196$.

Step4: Calculate the second term

$0.28\times500=140$.

Step5: Calculate the total cost

$C(7,500)=196 + 140=336$.

Answer:

$C(7,500)=$336.00$