Question

The linear function f(x)=0.2x+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 and g(x) 1,86 2,84 3,82. 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? Show your work to support your answer.

Answer 1

Answer:

The Science class had a higher average test score after completing test 4.

Step-by-step explanation:

Average test score in your math class  is denoted by function: f(x)=0.2x+79

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     86

2     84

3     82

Now to find function we will use two point slope form

$(x_1,y_1)=(1,86)\\(x_2,y_2)=(2,84)\\y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-86=\frac{84-86}{2-1}(x-1)\\ y-86=-2x+2\\y=-2x+2+86\\y=-2x+88$

Part A: Substitute x = 2 in f(x)

f(2) = 0.2(2) + 79 = 79.4

The test average for your math class after completing test 2 = 79.4

Part B

y=-2x+88

y=-2(2)+88=84

The test average for your science class after completing test 2 = 84

Part C:

Substitute x=4 in f(x) to get the test average for Math class  

f(4) = 0.2(4) +79 = 79.8

y=-2x+88

To get the test average for science class

y=-2(4)+88

y = 80

After completing test 4, the test average for Math class is 79.8, and the test average for Science class is 80.

80>79.8

Hence the answer is  The Science class had a higher average test score after completing test 4.