Aphotographer offers a photo shoot for a $85 flat fee. customers may purchase prints for $5 per sheet. how many sheets can a customer purchase and spend at most $150? what linear inequality with variable x represents this situation? what is the solution to that inequality? enter the solution as an inequality using x. enter your answers in the boxes. inequality: solution:

Hey Anna!

A photographer offers a photo shoot for a $85 flat fee. Customers may purchase prints for $5 per sheet.

How many sheets can a customer purchase and spend at most $150?

What linear inequality with variable x represents this situation?

What is the solution to that inequality? Enter the solution as an inequality using x.

We Know:

$85 flat rate

$5 per sheet (x)

$150 for how many sheets minus the flat rate?

Inequality - 150 = 5x - 85

Solution:

150 - 85 = 65

65 / 5 = 13

The costumer can buy 13 sheets for $150

Just took the test, the answers are:

Inequality: 85 + 5x ≤ 150

Solution: x ≤ 13

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3