Question

Question 2 (Essay Worth 10 points)

Answer 1

Answer:

(a) $f(2) = 81$

(b) $g(2) = 83$

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

Step-by-step explanation:

Given

$f(x) = 0.5x + 80$

$x \to g(x)$

$1 \to 81$

$2 \to 83$

$3 \to 85$

Solving (a): f(2)

We have:

$f(x) = 0.5x + 80$

$f(2) = 0.5*2+80$

$f(2) = 1 + 80$

$f(2) = 81$

Solving (b): g(2)

From the table:

$g(x) = 83$ when $x = 2$

So:

$g(2) = 83$

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

In (a) and (b),

$f(2) = 81$

$g(2) = 83$

Hence, test average for maths class is greater