Question

1. mele earned scores of 75, 70, 92, 95, and 97 points (a total of 429 points) on the first 5 tests in economics ii. solving which of the following equations for ( s ) gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests?

a. ( \frac{429}{5} + s = 85 )
b. ( \frac{429}{6} + s = 85 )
c. ( \frac{s + 429}{5} = 85 )
d. ( \frac{s + 429}{6} = 85 )
e. ( \frac{s + 429}{6} = \frac{85}{100} )
\\(\bigcirc\\) a
\\(\bigcirc\\) b
\\(\bigcirc\\) c
\\(\bigcirc\\) d
\\(\bigcirc\\) e

Explanation:

Step1: Recall average formula

Average = $\frac{\text{Total sum of values}}{\text{Number of values}}$

Step2: Define total sum for 6 tests

Total sum = $429 + s$

Step3: Set up average equation

$\frac{429 + s}{6} = 85$

Answer:

D. $\frac{s + 429}{6} = 85$