Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
So for this you need to set them equal to each other! 3x+100=5x-160
now you combine like terms and solve!
It would be 4x < h < 10x
the difference between 3x - 7x =4
and the sum would be 3x + 7x =10
a. "The newer car is more expensive" is false. The leftmost graph is a graph of cost versus time; you can see that as you increase in age, the cost lowers (point B to point A).
b. "The slower car is larger" is true. Middle graph is the relevant one. You can see that as cruising speed increases, the size decreases. Point A is the larger car than point B
c. We have to use multiple graphs. We see that car A is the larger car from the middle graph but car A is older than car B from the left graph. So no, the larger car is newer is false.
d. A is the cheapter car and it carries more capacity. True
