Question

6.A rental service charges $43 for each day you rent a car after you pay a $20 rental fee. Write a function that represents the arithmetic sequence. Days Total cost 1 $63 2 $106 3 $149 4 $192The function f(n) = represents the arithmetic sequence.​

Answer 1

$20 =fixed fee paid regardless of number of days

rented

n = number of days rented

for each rental, we pay $20+$43 per day, depending on the number of days.

f(n)= 43n+20

for1 day we pay $63

for 2 days you pay 43*2+20 = $106

for 3 days you paye 3*43+20=$149

for 4 days you paye 4*43+20=$192

Step-by-step explanation:

Answer 2

The car rental cost function is represented by the linear equation f(n) = 43n + 20, where n is the number of rental days, 43 is the daily cost, and 20 is the one-time rental fee.

Step-by-step explanation:

To represent the total cost of renting a car with an arithmetic sequence, we can create a linear equation where the independent variable is the number of days (n) and the dependent variable is the total cost (C). Given the cost is $43 for each day plus a one-time $20 rental fee, we find the total cost by adding the rental fee to the product of the number of days and the daily cost.

The function f(n) representing this arithmetic sequence will be:

f(n) = 43n + 20

Where:

• n is the number of days the car is rented.
• 43 is the cost per day.
• 20 is the one-time rental fee, which is also the y-intercept of the equation.

For example, if a car is rented for 1 day, the total cost would be f(1) = 43(1) + 20 = $63.