Question

Write an equation that can determine the cost for any number of pounds of strawberries purchased.

(6,15)
(2,5)
(1,2.5)

Answer 1

y=2.5x

Explanation:

To get the equation in y = mx + b format, we need to find m and b, the slope and y-intercept.

To find the slope, we need two points on a graph, which we have.

First, the slope

The formula for slope is

`(y2-y1)/(x2-x1)`

Our points, (6, 15) and (2, 5)

Plugging into our equation:

`(15 - 5)/(6 - 2)`, which is 10 divided by 4, which is 2.5

Our equation now:

`y=2.5x+b`

To find our b, we need to plug in one x value.

(6, 15) are our pair of points.

6 = x

15 = y

`15 = 6(2.5) + b` =>

`15 = 15+b` =>

`b = 0`

If b is 0, then we don't need to include b.

Our equation is
`y=2.5x`