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

Explanation:

Given the equation that models Damon's saving plan as y = 500 + 400x  where x represents the number of  months since last week and y represents the total amount he's saved for the vacation. Since he estimates that he'll need about $2,500 for the trip, therefore y = $2,500.

In order to determine how many more months of saving (x) it will take to reach his goal, the following steps must be taken by Damon (Damon true statements)

Step 1:

y = 500 + 400x

Step 2: Subtract 500 from both sides

y - 500 = 500 + 400x - 500

y-500 = 400x

Step 3: Substitute y = $2500 into the resulting equation and solve for x

400x  = 2500-500

Step 4:  Take the difference of the value at the right hand side of the equation

400x = 2000

Step 5: Divide both sides by the coefficient of x (i.e 400)

Step 6: Get the value of x

x = 5

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