Question

I need help with figuring out linear functions

Answer 1

Answer:

see explanation

Step-by-step explanation:

Part 1

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 80) and (x₂, y₂ ) = (2, 110) ← 2 points from the table

m = $\frac{110-80}{2-1}$ = 30

Given the point (0, 50 ) ⇒ c = 50

D(g) = 30g + 50 ← linear equation

A

D(6.5) = (30 × 6.5) + 50 = 195 + 50 = 245

B

D(4.25) = (30 × 4.25) + 50 = 127.5 + 50 = 177.5

C

D(50) = (30 × 50) + 50 = 1500 + 50 = 1550