Question

1. sofia earned scores of 85, 86, 87, and 82 points on 4 math tests. what score must sofia earn on the 5th math test for the average of the 5 tests to be exactly 3 points higher than the average of the first 4 tests? a. 70 b. 82 c. 85 d. 88 e. 100 question 2 (hint: graph using desmos and then look at the line to eliminate some choices and choose the best answer. remember, that slope is a rate of change (rise / run). 2. in the standard (x,y) coordinate plane, what is the slope of the line with the equation y - 2 = (1/3)(x + 3)?

Explanation:

Step1: Calculate sum of first 4 tests

$85 + 86 + 87 + 82 = 340$

Step2: Find average of first 4 tests

$\text{Average}_4 = \frac{340}{4} = 85$

Step3: Target average for 5 tests

$\text{Average}_5 = 85 + 3 = 88$

Step4: Calculate total for 5 tests

$\text{Total}_5 = 88 \times 5 = 440$

Step5: Find 5th test score

$x = 440 - 340 = 100$

Answer:

E. 100