Question

The table shows the cost of different numbers of yards of the material that Marnie wants to buy. Marine needs 3 yards of the material. What is the cost?

Answer 1

It would cost $14.04. The equation for this would be y = 4.68x. If you multiply 3 by 4.68, you would get 14.04.

Answer 2

Answer:

$14.04

Step-by-step explanation:

Let

x = yards of material

y = cost

The is a linear relationship between y and x that can be represented through the following equation.

y = m.x

where,

m is the slope, representing the cost per yard

If we have any 2 points (x₁, y₁) and (x₂, y₂), we can calculate m using the following expression.

m = y₂ - y₁ / x₂ - x₁

Let's use the first 2 points.

m = ($28.08 - $23.40)/ 6 yard - 5 yard = $4.68/yard

The final equation is

y = $4.68/yard . x

If Marnie wants to buy 3 yards (x = 3 yard),

y = $4.68/yard . 3 yard = $14.04