Question

This table shows the amount of money Mara plans to have in her savings account after working at her new job for the given number of weeks.

Which equation represents the relationship between the number of weeks Mara has worked at the new job, x, and her planned total savings, y?

Graph

Weeks at New Job Planned Total Savings ($)
2 300
5 390
10 540

Responses

y=3x+90
y equals 3 x plus 90

y=90x+300
y equals 90 x plus 300

y=30x+240
y equals 30 x plus 240

y=30x+300
y equals 30 x plus 300

Answer 1

55.n+100=825 can be used to determine the number of weeks it would take to reach the goal.

Explanation:

Given,

Starting amount = $100

Amount after one week = $155

Amount saved = Starting amount - amount after one week

Amount saved = 155 - 100 = $55

Amount you want to save = $825

Let,

n be the number of weeks.

As the rate of saving is same each week,

55*Number of weeks + Starting amount = Amount you want to save

55.n+100=825 can be used to determine the number of weeks it would take to reach the goal.

Keywords: linear equation, addition