Question

Identify the independent and dependent variables. Enter a function in function notation for the situation.

Then use the function to solve the problem.
Anne buys used cars at auction for $2,000 per car. There is a $50 fee to take part in the auction. If Anne
buys 11 used cars, how much does she pay in total?
The dependent variable is the (select)
The independent variable is the (select)
Let c represent the number of cars purchased. Then, f(c) = 2,000+50.
Anne pays a total of $
for the 11 cars.

Answer 1

The question provides a situation involving the purchase of used cars and asks to identify the independent and dependent variables, and solve the problem using a function. The independent variable is the number of cars purchased, and the dependent variable is the total payment. The function is f(c) = 2,000c + 50, and substituting c = 11 gives a total payment of $22,100.

Step-by-step explanation:

In this question, the independent variable is the number of cars purchased, denoted by c. The dependent variable is the total amount of money Anne pays for the cars.

The function notation for the situation is f(c) = 2,000c + 50, where c represents the number of cars.

To find out how much Anne pays for 11 cars, we substitute c = 11 into the function:

f(11) = 2,000(11) + 50 = 22,050 + 50 = 22,100

Therefore, Anne pays a total of $22,100 for the 11 cars.

Learn more about Identifying independent and dependent variables, function notation, solving a problem