As the variation is direct we have:

We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:

Clearing k:

Then, the function is:

We evaluate the function for x = -3
Answer:
the value of y when x = -3 is:
c.
72
Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Answer:
D. -4
Step-by-step explanation:
the slope formula is
m=(y2-y1)/(x2-x1)
(x2,y2) = (4,7)
(x1, y1) = (5,3)
So (7-3)/(4-5) = 4/-1 = -4
The answer is x=3
if you divide each by -7 to isolate x, it’s equal to positive three because 2 negatives make a positive