Question

Sherman hopes to get at least a 90 average on his science test. He has one more test before the end of the year. His past test scores are 79, 94, 91, and 92.Write and solve an inequality that represents the situation. What is the lowest score Sherman can get on his final test and reach his? show your work

Answer 1

(79 + 94 + 91 + 92 + x) / 5 > = 90
(356 + x) / 5 > = 90
356 + x > = 90 * 5
356 + x > = 450
x > = 450 - 356
x > = 94 <=== Sherman can get the lowest score at 94

Answer 2

94 points

Explanation:

The mean is defined by the sum of the numbers divided by how many numbers there are, so:

`((79+94+91+92+x))/(5)>=90\\\\((356+x))/(5)>=90`

Multiplying both sides by 5

`(356+x)>=450`

Subtracting 356 on both sides:

`x>=94`

So Sherman has to obtain at least 94 points on his final test in order to get an average of at least 90.