By definition the rate of change of a function is given by:

Or equivalently:

Substituting the values given in the problem we have:

Rewriting we have:
Answer:
the rate of change of the ramp is:
Answer:
both kinds of tickets are $5 each
Step-by-step explanation:
Let s and c represent the dollar costs of a senior ticket and child ticket, respectively. The problem statement describes two relationships:
12s + 5c = 85 . . . . . revenue from the first day of sales
6s + 9c = 75 . . . . . . revenue from the second day of sales
Double the second equation and subtract the first to eliminate the s variable.
2(6s +9c) -(12s +5c) = 2(75) -(85)
13c = 65 . . . . . simplify
65/13 = c = 5 . . . . . divide by the coefficient of c
Substitute this value into either equation. Let's use the second one.
6s + 9·5 = 75
6s = 30 . . . . . . . subtract 45
30/6 = s = 5 . . . divide by the coefficient of s
The price of a senior ticket is $5; the price of a child ticket is $5.
0.48 miles
Step-by-step explanation:
Step 1
It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.
Step 2
Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]
Answer: no
Step-by-step explanation:
4 is smaller than 7. And 7 is greater than 4 so let's just say ur solving a division problem multiplication ect you always need to put the greater number first!
So yeah hope I helped! <3
A) -15 > -5 is false.
B) -4 > 0 is 0 < -4
C) -12 < -3 is always true. There are many solutions.
D) 2 < -5 is false.
Answer: C) -12 < -3