Answer:
Step-by-step explanation:
The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:
where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have:
h = 96 mm is the height of the can
d = 66 mm is the diameter of the can
So the radius of its base is
And therefore, the volume of the can is:
Step-by-step explanation:
Given
The function is 
for 
, we will check the values of 
and 
Take 3 and 4
Similarly,
Thus, 
Also, 
is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.
The best way to solve a problem like this is guess and check.
y = 2x + 10
2 = 2(2) +10
2 = 4+10
2 = 14 NO
y = 2x + 10
4 = -3(2) +10
4 = -6 +10
4 = 4 YES . . . C is your answer
Y = mx +b whre m is the slope and b is the y-intercept.
We have the slope 3/4 so put that instead of m
y = 3/4x + b
Now to find the y-intercept (b), plug the ordered pair in and solve for b.
-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b
So y = 3/4x - 31/4
