PLEASE HELP ASAP

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

6 0

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2, f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [-5 - 3] / [2-0]

= -8 / 2

= - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

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3 years ago

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Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable X relresent Nick's age

Ronch [10]

Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

$X=4+Y$

or $Y=X-4$

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.