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AfilCa [17]
3 years ago
11

Please answer this, I really need help!!!

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

a. Juan

b. J(t) = A(t) at t = 7 minutes

c. J(t) > A(t) for the interval 0 ≤ t ≤ 7

Step-by-step explanation:

a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race

b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes

Therefore;

J(t) = A(t) at t = 7 minutes

c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7

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Step-by-step explanation:

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as

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f(x)=2|x|

f(a)=f(0)=2\cdot \:0       ∵  \mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0

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\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}

              =\frac{8}{4}

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We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

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