Question

Trevor is starting a part-time job at a grocery store. He started with $100 in his savings. He makes $77 a week working there. Write a linear equation, with y being the total earned and x for each week. How much money will he have in 3 months?

Answer 1

Trevor's total earnings can be represented by the linear equation y = 100 + 77x. After 3 months, which is equivalent to 12 weeks, he will have $1024 in his savings.

Step-by-step explanation:

The student asked for a linear equation to represent the total amount of money, y, Trevor will have after working for each week, x, at his part-time job, given that he starts with $100 in savings and makes $77 a week. The equation we will use is y = 100 + 77x.

To find out how much money Trevor will have in 3 months, we need to calculate the number of weeks in 3 months. Typically, a month has about 4 weeks, so 3 months would have approximately 3 x 4 = 12 weeks. Therefore, when x equals 12, the equation becomes y = 100 + 77(12).

So the total amount y Trevor will have in savings after 3 months is: y = 100 + 77(12) = 100 + 924 = $1024.