9514 1404 393
Answer:
Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is
. Using what we have, we can solve it as such:

In short, the average rate of change from x = 0 to x = 8 is 5/21.

d - distance
v - speed
t - time
Car A:

Car B:
15 mph faster than car A

Both cars traveled equal distances:

Car B traveled at the speed of 60 mph.
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25