Marie scored 86 and 92 on two science tests. She wants her average score for 3 tests to be at least 92. Write and
solve an inequality to find the average scores that she can get on her next three tests to meet this goal. Use x to
represent the lowest average score.
Define the variable: ______
Write the inequality:______
Solve: ______

Ok so lets say you have 5 terms that are a, b, c, d, e
average=(a+b+c+d+e)/5
basically
(sum of terms)/(number of terms)=average
so
average at least 92 that means
average>92
so she scored 2 tests already and wants to do 3 more
terms=test scores
2+3=5
5 terms
we know that 2 are 86 and 92
replace all the rest with x
(86+92+x+x+x)/5>92
mutiply both sides by 5
86+92+x+x+x>460
86+92=178
178+x+x+x>460
subtract 178 from both sides
x+x+x>282
3x>282
divide both sides by 3
x>94
need so tget 94 at least
variable=x
inequality is 92<\( \frac{86+92+x+x+x}{5} \)
x>94
she need to get at least 94


RELATED: