Given:
The total price of apples (y) at an orchard can be calculated with the equation
[tex]y=1.25x+5[/tex]
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
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
We have,
[tex]y=1.25x+5[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1.25, b=5[/tex]
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.