Question

Damon is saving for a vacation. He estimates that he'll need about $2,500 for the trip. He created an equation last week to model his savings

plan to determine how many more months of saving it will take to reach his goal. In the equation Damon created, x represents the number of
months since last week and y represents the total amount he's saved for the vacation Review his work, and select the true statement.
Step 1:
y = 500 + 400x
Step 2: y - 500 = 500 + 400x-500
Step 3: y - 500 = 400X
Step 4:
y - 500 4003
400
= 400
Step 5
y - 500
400
2,500 -- 500
Step 6:
400
Step 7
5= x

Answer 1

The correct equation that Damon created to model his savings plan is y = 500 + 400x. It will take Damon 5 more months of saving to reach his goal of $2,500.

Step-by-step explanation:

The correct equation that Damon created to model his savings plan is:

y = 500 + 400x

To understand his work, let's go through the steps:

Step 1: y = 500 + 400x

Step 2: y - 500 = 500 + 400x - 500

Step 3: y - 500 = 400x

Step 4: Divide both sides by 400 to isolate x: (y - 500)/400 = x

Step 5: Substitute the value of y as 2,500:

(2,500 - 500)/400 = x

Step 6: Simplify: 2,000/400 = x

Step 7: Divide to solve for x: x = 5

Therefore, it will take Damon 5 more months of saving to reach his goal of $2,500.

Answer 2

I’m confused on what was written for the steps he took to solve the equation, but they got the correct answer. I attached my work for solving the problem.