Question

Linear Equations: Real World ApplicationsA student has scores of 76, 76.5, and 82.75 on his first three tests. He needs an average of at least80 to earn a grade of B. What is the minimum score that the student needs on the fourth test toensure a B? Round your answer to two decimal places.The student needs a minimum score ofon the fourth test to ensure a grade of atleast a B.

Answer 1

Let

x ------> score on the fourth test

we have that

`(76+76.5+82.75+x)/(4)\ge80`

Remember that

at least, means -----> "greater than or equal to"

so

solve for x

`76+76.5+82.75+x\ge80\cdot4`

`235.25+x\ge80\cdot4`

`\begin{gathered} x\ge320-235.25 \\ x\ge84.75 \end{gathered}`

therefore

The minimum score on the fourth test is 84.75