We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
128 times
Step-by-step explanation:
Total cups = volume per meal × no. of meals
C = V × n
Divide each side by V
n = C/V = 48/(⅜)
Invert the fraction and multiply
n = 48 × ⁸/₃
Cancel 3s
n = 16 × 8
Multiply
n = 128
Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.
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Find 10 reams
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1 ream = 32 ounces
10 reams = 32 x 10
10 reams = 320 ounces
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Convert ounce to pound:
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1 ounce = 0.0625
10 ounces = 0.0625 x 10
10 ounces = 0.625 pounds
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Answer: Each case weighs 0.625 pound.
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