The linear function f(x)= 0.2x+79 represents the average test score in your math class, where x is the number the test represents the average test score in your science class ,where xis the number of the test taken.
x / 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.
which class had a higher avaraga after completing test 4? show work to support.

answer:

a) 79.4

b) 84

c) science did better. see explanation .

step-by-step explanation:

a)

x represents the number of test taken.

we want to know the test average which is the output of 0.2x+79.

0.2(2)+79

0.4+79

79.4

b)

x represents the number of test taken.

so find x=2, and see the test average is 84.

c)

find what 0.2x+79 is for x=4.

0.2(4)+79

0.8+79

79.8 is the math test average after 4 tests have been taken.

the table shows while the test taken number goes up by 1 the test average for science goes down by 2.

following this pattern, when x=4, we will have g(4)=80.

80 is the science test average after 4 tests have been taken.

science has a higher test average than math since g(4)=80> 79.8=f(4).