The linear function f(x) = 0.9x + 79 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 the test taken.
x g(x)
1 78
2 79
3 80
part a: determine the test average for your math class after completing test 2. (2 points)
part b: determine the test average for your science class after completing test 2. (2 points)
part c: which class had a higher average after completing test 4? show work to support your answer. (6 points)

Part A) 80.8

Part B) 79

Part C) The math class had a higher average after completing test 4

Step-by-step explanation:

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

we have

so

For x=2

substitute and solve for f(x)

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

Observing the table

we have that

For x=2

The value of g(x) is equal to 79

so

Part C)  Which class had a higher average after completing test 4? Show work to support your answer

step 1

Determine the test average for your math class after completing test 4.

For x=4

substitute and solve for f(x)

step 2

Find the equation of the linear function g(x)

Find the slope with (1,78) and (2,79)

Find the equation of the line into point slope form

substitute

Convert to function notation

For x=4

substitute

step 3

Compare the test average

so

therefore

The math class had a higher average after completing test 4

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2