You haven't told us the choices, so there's no way for anybody
to help you pick out the correct choice.
The list of how many baseballs could be in each box is:
-- 1 baseball in each of 24 boxes
-- 2 baseballs in each of 12 boxes
-- 3 baseballs in each of 8 boxes
-- 4 baseballs in each of 6 boxes
-- 6 baseballs in each of 4 boxes
-- 8 baseballs in each of 3 boxes
-- 12 baseballs in each of 2 boxes
-- 24 baseballs in each of 1 box .
Answer:
See below.
Step-by-step explanation:
a.
We need degrees C as a function of degrees F.
Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.
We are given two ordered pairs: (32, 0) and (212, 100).
We can find the slope of the line.
m = (100 - 0)/(212 - 32) = 100/180 = 5/9
y = mx + b
C = mF + b
C = (5/9)F + b
Use point (32, 0) for F and C to solve for b.
0 = (5/9)(32) + b
b = -(5/9)(32)
C = (5/9)F - 5/9(32)
C = (5/9)F - 160/9
b.
The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.
c.
The y-intercept is -160/9.
It means that a temperature of 0 degrees F equals -160/9 degrees C.
A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc.
