Question

Jerome’s teacher gave him a homework assignment on solving equations. Since he’s been thinking about saving for a used car, he decided to use the assignment as an opportunity to model a savings plan.
He already has $500, and he plans to save $375 every month. To model the situation, he created this equation, where y represents the total amount saved for the car and x represents the number of months since he started saving:

500 + 375x = y.

He then solved the equation to determine how many months he would need to save to have enough to purchase the car. Review his work, and select the error.

Answer 1

Answer:

Addition property of Equality

Step-by-step explanation:

PLATO students rise

Answer 2

The saving plan is an illustration of linear equations.

Jerome did not make any error in his calculations

The equation is represented as;

$\mathbf{500 + 375x = y}$

Where:

x represents the number of months

The following steps are used to determine Jerome's error(s)

Given

$\mathbf{500 + 375x = y}$

Addition property: Add -500 to both sides

$\mathbf{-500 + 500 + 375x = y - 500}$

Simplify

$\mathbf{375x = y - 500}$

Division property: Divide both sides by 375

$\mathbf{\frac{375x}{375} = \frac{y - 500}{375}}$

Simplify

$\mathbf{x = \frac{y - 500}{375}}$

Substitution: Substitute 3500 for y

$\mathbf{x = \frac{3500 - 500}{375}}$

Simplify

$\mathbf{x = 8}$

The steps above show that: He did not make any mistake

Read more about linear equations at:

brainly.com/question/2263981