Which inequality does the graph represent?
A. y < x + 5
B. y > x + 5
C. y < x + 5
D. y > x + 5

y < x + 5

Step-by-step explanation:

First, notice that the line is a dotted line, which means that the inequality used will not have an equal sign as a part of it. Instead, the inequality will either be "greater than" (>) or "less than" (<) and not "greater than or equal to" (≥) or "less than or equal to" (≤).

This means that our two remaining choices are y > x + 5 and y < x + 5.

According to the answer choices, we can see that the line itself has the equation of y = x + 5; we just need to find the line that represents the shaded part of the graph.

Notice that one of the points included in the shaded region is (0, 0). Let's plug in 0 for x and 0 for y in each of the two remaining choices said above and see which one will be a true statement. The one that is a true statement will be our

y > x + 5

0 > 0 + 5

0 > 5

This is clearly wrong, so the answer is NOT y > x + 5.

y < x + 5

0 < 0 + 5

0 < 5

This is true, so the answer is y < x + 5.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200