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prohojiy [21]
4 years ago
6

Use the scenario to answer the question. Tyrone was asked to write the recursive and explicit formula for the sequence {−4,−7,−1

0,−13,…}. He wrote the recursive formula as a1=−4 and an=−4−3. He wrote the explicit formula as an=−4−3(n−1). Where did he make a mistake?
In his recursive formula, he should have added 3 instead of subtracting 3 to get an=−4+3.

In his explicit formula, the −4 is not necessary. He should have written an=−3(n−1).

In his explicit formula, he should have used n−3 instead of n−1 to get an=−4−3(n−3).

In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.
Mathematics
1 answer:
Anton [14]4 years ago
7 0

The last option: In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.

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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
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Constant rates are used to illustrate linear functions.

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<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0
2 years ago
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Answer:

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Midpoint: (-2, 3)

Answer: B. (−2, 3)

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3 years ago
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Answer:

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