Q50. - Algebra 2

Question

TEST GRADES: For Exercise 50 and 51, use the following information.

 

Ahmik’s scores on the first four of five 100-point history tests were 85, 91, 89 and 94.

 

50.  If a grade of at least 90 is A, write an inequality to find the score Ahmik must receive on the fifth test to have an A test average.

Step-by-Step Solution

Answer

The inequality is  $\frac{85+91+89+94+\text{x}}{5}\ge 90$.

Step 1 - Define the variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Show the calculation.

From given, let $x$ be the score Ahmik gets in fifth test

Now, the average score have to be at least 90 so that he gets an A.

Total number of test is 5.

As it is known that average is the sum of the observations divided by the total number of observations.

Here, the average will be sum of the test scores divided by the number of test.

The scores are 85, 91, 89 and 94.

Step 3 - State the inequality.

From the given, the inequality will be:

$\frac{85+91+89+94+x}{5}\ge 90$

Therefore, the inequality is:

$\frac{85+91+89+94+x}{5}\ge 90$

$\frac{85+91+89+94+x}{5}\ge 90$