Math

QuestionJason started with \80andadds$15monthly.Findtheexpressionforhissavingsafter80 and adds \$15 monthly. Find the expression for his savings after m$ months and calculate it for 12 months.

Studdy Solution

STEP 1

Assumptions1. The initial amount in Jason's savings account is $80\$80. . Each month, Jason adds $15\$15 to his account.
3. We are asked to find an expression for the amount of money in Jason's account each month, and then use this expression to find the amount at the end of the year.

STEP 2

First, we need to understand the pattern of the problem. Each month, Jason adds $15\$15 to his account. So, the amount of money in his account is increasing linearly. We can express this as a linear equation.

STEP 3

The linear equation can be written in the form y=mx+by = mx + b, where yy is the amount of money in Jason's account each month, mm is the amount he adds each month, xx is the number of months, and bb is the initial amount in his account.

STEP 4

Plug in the given values for mm and bb into the equation.
y=15x+80y =15x +80

STEP 5

This equation represents the amount of money in Jason's account each month. Now, we can use this equation to find the amount of money in his account at the end of the year.

STEP 6

The end of the year means x=12x =12 months. Plug in this value for xx into the equation.
y=15×12+80y =15 \times12 +80

STEP 7

Calculate the value of yy.
y=15×12+80=$260y =15 \times12 +80 = \$260At the end of the year, Jason has $260\$260 in his savings account.

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