Answer:
Hence, the average rate of change is:
Step-by-step explanation:
We are asked to calculate the average value of the function:
in 2 ≤ x ≤ 6
The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:
Now,
Hence, the average rate of change is:
Hence, the average rate of change is:
$12 5 times 3 is 15 -20% is $12
<u>Solution-</u>
Zachary purchased a computer for 1800 on a payment plan. (Initial Money)
3 months after he bought the computer, his balance was 1350. (Money after 3 months)
Total money paid in 3 months = 1800-1350 = 450
Money paid per month = 450/3 = 150
5 months after he bought the computer, his balance was 1050.
Total spent = 1800-1050 = 750 = (5× 150)
So the equation that models the balance b after m months,
b = 1800 - m(150)
∴ Here, the slope signifies the constant monthly deduction of $150.
Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
