Question

Lucy bought a freezer on wheels and sells popsicles in her neighborhood. She wrote the equation 10x - 8y = 160 to represent her profits, y, after selling x popsicles. How much does she make per popsicle she sells (do not consider the cost of the freezer in her per popsicle profit)?

Answer 1

We will determine how much she makes per popsicle she sells as follows:

*We replace y = 0 on the expression and solve for y, that is:

`10(x)-8(0)=160\Rightarrow10x=160`
`\Rightarrow x=16`

From this, we have that after 16 popsicles she will start earning profits,

*Now, we determine the earnings per popsicles:

We replace for x1 = 16 and x2 = 17 and the difference between y2 & y1 will be the earnings per popsicle, that is:

**For x1 = 16

`y=0`

**For x2 = 17

`10(1)-8y=160\Rightarrow-8y=-10`
`\Rightarrow y=1.25`

So, the value of each popsicle is $1.25.