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natta225 [31]
3 years ago
7

A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of

road per hour. The function f(x) = 300x + 1,000 represents this situation.
What is f(3), and what does it represent?

A. 900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
B. 900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
C. 1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
D. 1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
Mathematics
1 answer:
Archy [21]3 years ago
6 0

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

\mathbf{f(x) = 300x + 1000}

To calculate f(3), we substitute 3 for x

\mathbf{f(3) = 300 \times 3 + 1000}

Multiply 300 and 3

\mathbf{f(3) = 900 + 1000}

Add 900 and 1000

\mathbf{f(3) = 1900}

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

Hence, the correct option is (D)

Read more about linear functions at:

brainly.com/question/21107621

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lakkis [162]

Answer:

Total cost of repayment  = 4955.04

Net interest paid = 655.04

Step-by-step explanation:

Given

Amount taken on loan = 4300

Repayment plan

Monthly installment= 206.46

Yearly installment  = 206.46 * 12 = 2477.52

Rate of interest per year = 14 %

Time Period for repaying the loan = 2 years

The total amount repaid by Jameson at the rate of 206.46 per month for next 24 months

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Net interest paid

= 4955.04 - 4300\\= 655.04

Total cost of repayment  = 4955.04

Net interest paid = 655.04

8 0
3 years ago
You need 3 sticks of butter for every 24 giant cookies you bake.
marta [7]

Answer:

Sticks of butter : 2

Number of cookies : 40

Step-by-step explanation:

<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Sticks of butter                    Number of cookies</em>

<em>  3                                           24</em>

<em>  x                                             16</em>

<em>5                                                 y</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Let the unknown be x and y..</em>

<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>

<em>Then 24/3 = 8</em>

<em>Since the number of cookies is 16 then 16/8 = 2</em>

<em>Thus x = 2</em>

<em>Next for y.</em>

<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>

<em>Then 5 * 8 = 40</em>

<em>Thus, y = 40</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Completed table below:</em>

<em>Sticks of butter                    Number of cookies</em>

<em>  3                                           24</em>

 2    <em>                                         16</em>

<em>5                                                 </em><em>40</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<u><em>~lenvy~</em></u>

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