Question

A calculator is allowed on this question.After beginning a part-time job, a high school student decided to begin saving money in a savings account. She beganby saving the same amount each month, until she received a raise after completing 7 months at her job. She thendecided to increase her savings per month for each month after that. The equation shown below describes her totalsavings, T, in dollars after m months of working at this job, for m > 7:T = 50m + 25(m - 7)Which of the following is a correct statement about this equation?(Calculator Allowed)AStarting at 7 months, the total amount she contributes to savings each month is $25.BStarting at 7 months, the total amount she contributes to savings each month is $75.сStarting at 7 months, the total amount she contributes to savings each month is $50.XDStarting at 7 months, the total of the savings account is 25 times more than it was at the end of theprevious month.

Answer 1

as we can see the slope ( factor of the variable x) is 75, it means each month he contrubtes to save $75

Step-by-step explanation

Step 1

we have the expression

`T=50m+25(m-7)`

where T is the total in the amount

and m is the the number of months

for m greater or equal than 7

simplify the expression

`\begin{gathered} T=50m+25(m-7) \\ T=50m+25m-175 \\ T=75m-175 \end{gathered}`

so, we got a linear equation in the slope intercept form

`\begin{gathered} T=75m-175 \\ slope=75 \\ b\text{ intercept =-175} \end{gathered}`

check for m=7

`\begin{gathered} T=75m-175 \\ T=75\cdot7-175 \\ T=350 \end{gathered}`

now, for m=8

`\begin{gathered} T=75m-175 \\ T=75\cdot8-175 \\ T=425 \end{gathered}`

as we can see the slope ( factor of the variable x) is 75, it means each month he contrubtes to save $75