Question

The total price of apples (y) at an orchard can be calculated with the equation y=1.25x+5, where x is the number of pounds of apples picked. What does the slope represent?

Answer 1

Given:

The total price of apples (y) at an orchard can be calculated with the equation

$y=1.25x+5$

where, x is the number of pounds of apples picked.

To find:

The interpretation of slope for the given situation.

Solution:

The slope intercept form is

$y=mx+b$       ...(i)

where, m is slope and b is y-intercept.

We have,

$y=1.25x+5$        ...(ii)

On comparing (i) and (ii), we get

$m=1.25, b=5$

Slope = 1.25.

We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.

Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.