The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes. x 30 45 60 75 90 105
c(x) 40 48 50 48 40 30

Which statement is supported by the table?

A.
The maximum number of customers in the diner is 60.
B.
The number of customers in the diner is increasing on the interval (30, 60).
C.
The maximum number of customers in the diner is 105.
D.
The number of customers in the diner is increasing on the interval (75, 105).

PLEAS HELP NO LINKS

where is the rest of the

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!