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: ______

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

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