Question

Kate is saving to take an SAT prep course that costs $350. So far, she has saved $180 and can save $17

each week. Write and solve an equation to determine how many more weeks she must save to be able to
afford the course.

Answer 1

10 weeks.

Explanation:

Let
`w` equal the number of weeks.

Let's construct a linear equation that equals the total cost of the SAT prep course, demonstrates Kate has already saved $180, and represents $17 saved per week:

`350=17w+180`

Let's solve:

`350=17w+180`

Subtract
`180` from both sides of the equation.

`170=17w`

Divide both sides of the equation by the coefficient of
`w`, which is
`17`:

`w=10`