Question

Larry can spend at most $2800 to renovate his home. One roll of wallpaper costs $35, and one can of paint costs $40. He needs at least 20 rolls of wallpaper and at least 30 cans of paint. Identify the graph that shows all possible combinations of wallpaper and paint that he can buy. Also, identify two possible combinations.

Answer 1

`D`

Step-by-step explanation:

Here, we want to identify the correct graph and the possible combinations

Let the number of rolls of wallpaper be x and the number of cans of paints be y

The total amount needed is at most $2,800

That means:

`35x\text{ + 40y}\leq\text{ 2,800}`

He needs at least 20 rolls of wallpaper:

`x\text{ }\ge\text{ 20}`

He also needs at least 30 cans of paint:

`y\text{ }\ge\text{ 30}`

Now, we have to plot the graph of the given inequalities on the same axes

We have the image of the plot as follows:

Now, let us select the correct answer choice

The correct answer choice lies within the small triangle (where the three inequalities overlap)

All the points within the small triangle are right answers

The correct answer choice here is thus D