Stephen earned scores of 88 points, 94 points. 89 points, and 85 points on four tests.
What is the lowest score he can get on the fifth test and still finish with an average score of 90 points?

answer

94

set up equations

average = total points / number of tests

total points = test1 + test2 + test3 + test4+ test5

total points = 88 + 94 +89 + 85 + test5

total points = 356 + test5

plug total points into first eqation and rearrange

average = total points / number of tests

average = (356 + test5)/number of tests

average * number of tests = 356 + test5

test5 = average * number of tests - 356

plug in values for average and number of tests

test5 = average * number of tests - 356

test5 = 90 * 5 - 356

test5 = 94

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9