The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of test taken.

X. G(X).
1. 81.
2. 83
3. 85

Part A: Determine the test average for your math class after completing test 2.

Part B: Determine the test average for your science class after completing test 2.

Part C: Which class had a higher average after completing test 4? Use full sentences to support your answer.

A) 0.5(2) + 80 = 81

B) 83

C) f(4) = 0.5(4) + 80 = 82

g(x) = 2x + 79

Slope: (83-81)/(2-1) = 2

y = 2x + c

When x = 1, y = 81

81 = 2 + c

c = 79

g(x) = 2x + 79

g(4) = 2(4) + 79 = 87

Since 87 > 82,

Science has a higher average after 4 tests

it shoild be o

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form