Question

In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 point so far. Write and solve an inequality that models this situation and find out how many points Sarah needs on the last part of her project to get an A.

Answer 1

to get an A, she needs >=160 points and she already has 125 points

let 'x' be the number of points on the last part of her project then

125 + x >= 160

x >= 160 - 125

x >= 35

Sarah needs at least 35 points on the last part of her project.

Answer 2

P ≥ 35

Explanation:

Naming P to the Points needed for the last part of Sarah's project,

we can define an inequation modelling in which cases Sarah will have enough points for an A or better:

It is stated that:

• An A is achieved with 160 points.
• Sarah already has been given 125 points.

Then the inequation can be written:

[Points-so-far] + [Points-needed] greater or equal than 160

In math symbols:

`125+P\geq 160\\P\geq 160-125\\P\geq 35`