Question

The triangular region shows the number of possible ounces of pepperoni slices, x, and the number of possible ham slices, y, a pizza maker can use on a

special pizza. Which combination of pepperoni and ham can the pizza maker use?

33 pepperoni slices and 15 ham slices

43 pepperoni slices and 25 ham slices

38 pepperoni slices and 30 ham slices

25 pepperoni slices and 20 ham slices

Answer 1

its the second one 43 peperonie and 25 hame

Answer 2

We will proceed to verify each case to determine the solution of the problem.

we know that

The solution of the problem must be included in the shaded area of the graph.

Let

x---------> the number of possible ounces of pepperoni slices

y--------> the number of possible ham slices

so

case A.
`33` pepperoni slices and
`15` ham slices

we have the point
`A(33,15)`

Graph the point A

see the attached figure

The point
`A(33,15)` is not solution

Because the point is not included in the shaded area of the graph

case B.
`43` pepperoni slices and
`25` ham slices

we have the point
`B(43,25)`

Graph the point B

see the attached figure

The point
`B(43,25)` is a solution

Because the point is included in the shaded area of the graph

case C.
`38` pepperoni slices and
`30` ham slices

we have the point
`C(38,30)`

Graph the point C

see the attached figure

The point
`C(38,30)` is not solution

Because the point is not included in the shaded area of the graph

case D.
`25` pepperoni slices and
`20` ham slices

we have the point
`D(25,20)`

Graph the point D

see the attached figure

The point
`D(25,20)` is not solution

Because the point is not included in the shaded area of the graph

therefore

the answer is

`43` pepperoni slices and
`25` ham slices