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?

Given:

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

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

      ...(i)

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

We have,

       ...(ii)

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

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.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.