Question

Harold wants to get at least a grade of 84 in math class. His grade will be the average of two test scores. He got a 77 on the first test.

A. Write an inequality to represent the situation.


B. What is the least grade Harold needs to get on his second test to mee his goal?

This is my last question for my homework! Please help me out :)

Answer 1

1. (77+x)/2=84

2. Harold needs at least a 91

Work:

first, you multiply both sides by 2; 77+x=168
then you subtract 77 from both sides; x=91
then you plug it back in to check; (77+91)/2=84 ; 168/2=84 ; 84=84

Answer 2

`(77+x)/(2) \geq 84`

Harold needs to get more than 91 on his second test

Explanation:

Harold wants to get average of Two test grades in math class is atleast 84.

He got 77 on the first test. and Let x be the score of second test.

Average of two test is
`(77+x)/(2)`

Average is atleast 84. The inequality becomes

`(77+x)/(2) \geq 84`

Now solve the inequality for x

`(77+x)/(2) \geq 84`

Multiply both sides by 2

`77+x\geq 168`

Subtract 77 from both sides

`x\geq 91`

Harold needs to get more than 91 on his second test