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

Part A: The test average for the math class after completing 2 tests is 81

Part B: The test average for the science class after completing 2 tests is 83

Part C: The science class had the higher average test score after completing the test 4.

Step-by-step explanation:

The average test score for math class is given by the linear function, f(x) = 0.5·x + 80

The data for the average test score for science g(x) are;

x,   q(x)

1,     81

2,    83

3,    85

Part A: The average test score for math after completing test 2 is given as follows;

f(2) = 0.5×2 + 80 = 81

∴ The test average for the math class after completing 2 tests = 81

Part B:

The average test score for science after completing test 2 is given from the table as at x = 2, g(2) = 83

∴ The test average for the science class after completing 2 tests = 83

Part C: After completing 4 tests, we have for the math class, f(4) = 0.5×4 + 80 = 82

For the science class, it is observed that common difference between each subsequent test score average is 2, therefore, the average test score, for the fourth test is 2 added to the average test score after the third test, which gives;

Average test score, after completing the fourth test for the science class, g(4) = 85 + 2 = 87

Since g(4) > f(4) the science class had the higher average test score after completing the test 4.

Science class had a higher average

Step-by-step explanation:

Given

g(x) table

Solving (a): f(2)

We have:

So:

Solving (b): g(2)

From the given table.

Solving (c): f(4) or g(4); which is greater

So:

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

So

Hence, g(4) i.e. Science class is greater

Science class had a higher average

Step-by-step explanation:

Given

g(x) table

Solving (a): f(2)

We have:

So:

Solving (b): g(2)

From the given table.

Solving (c): f(4) or g(4); which is greater

So:

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

So

Hence, g(4) i.e. Science class is greater

(a)

(b)

(c) Test average for maths class after test 2 is greater

Step-by-step explanation:

Given

Solving (a): f(2)

We have:

Solving (b): g(2)

From the table:

when

So:

Solving (c): Which is greater f(2) or g(2)

In (a) and (b),

Hence, test average for maths class is greater

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg