Question

A student earns $20 a week for cutting their grass. They can earn an additional $25 a week for each neighbor’s yard that they cut. Write a function to show the student’s total weekly earnings in terms of how many additional yards they cut.

Answer 1

The function representing the student's total weekly earnings, given the number of neighbor's yards cut, is E(x) = 20 + 25x, where x is the number of additional yards cut.

Step-by-step explanation:

The student's total weekly earnings from cutting grass can be represented as a function of the number of additional yards they cut. Let's define x as the number of neighbor's yards they cut each week. The student earns a fixed amount of $20 for cutting their own grass and $25 for each additional yard. Therefore, the function for the student's total weekly earnings E in terms of x can be written as:

E(x) = 20 + 25x

This is a linear function where the coefficient 25 represents the rate of change, indicating how much additional earnings the student receives for each extra yard they cut after their own.