The table shows some values that satisfy the quadratic equation. which of the following is a true statement?
a. if the store charges $5 per soccer ball, it can expect to sell 170 of them.
b. if the store charges $8 per soccer ball, it makes a daily profit of $236.
c. if the store sells 12 soccer balls, it makes $156 in profit.
d. the greater the selling price, the greater the profit.

Option B is the true statement.

Step-by-step explanation:

The given quadratic equation is y = (-6x² + 100x - 180)

In this equation y represents the daily profit and x represents the selling price.

Now we will check every option given.

A. If the selling price per ball is $5 then profit will be

y = -6×25 + 100×5 - 180 = -150 + 500 - 180 = $170

Which never defines the number of balls sold, so option A. is not correct.

B. If the selling price is $8 then profit will be

y = -6×64 + 800 - 180 = -384 + 800 - 180 = $236

This option is correct.

C. This option is not valid because we can't use number of balls to find the profit.

D. This statement is also not correct as we can see if selling price of a ball is $5 then profit is $170 and when selling price is $12 then profit is $156.

Therefore this option is also not correct.

Option B is the answer.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.