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jolli1 [7]
3 years ago
14

A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of cha

nge? A. 1/2 B. 2 C. 5 D. 20
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Average Rate of change = 2

Step-by-step explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is \frac{f(b) - f(a)}{b - a}

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = \frac{20 - 8}{7 - 1}

                                         = \frac{12}{6}

                                         = 2

⇒Average Rate of change = 2

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Solve the systemof equations y=3x<br> X=-2y+70
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Answer:

35?

Step-by-step explanation:

3x+2y=70

Geometric figure: Straight Line

Slope = -3.000/2.000 = -1.500

x-intercept = 70/3 = 23.33333

y-intercept = 70/2 = 35

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 35/1 so this line "cuts" the y axis at y=35.00000

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Calculate the X-Intercept :

When y = 0 the value of x is 70/3 Our line therefore "cuts" the x axis at x=23.33333

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Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 35.000 and for x=2.000, the value of y is 32.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 32.000 - 35.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

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