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Levart [38]
2 years ago
7

Which of the following rules describes the function graphed below? On a coordinate plane, points are at (1, 5), (2, 4), (3, 3),

(4, 2). a. Output = Input c. Output = 5 · Input - 4 b. Output = Input - 4 d. Output = 6 - Input Please select the best answer from the choices provided A B C D

Mathematics
1 answer:
Dimas [21]2 years ago
6 0

*see attachment

Answer:

D. Output = 6 - Input

Step-by-step explanation:

The output is the y-value, while the input is the x-value. The coordinates are represented as (x, y), and are graphed in the figure attached below.

Let's consider the function and see which rule best describes the function.

Considering the point (1, 5), the rule, output = 6 - input, applies.

Let's check it out:

Output is 5, input is 1. Substitute 1 as input into the rule, Output = 6 - input, and see if it would give you 5 as output:

Output = 6 - 1

Output = 5

If you try another coordinate pair of the function, the same rule will apply.

Therefore, the best answer is D. Output = 6 - Input

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The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The
ziro4ka [17]

<em>Question:</em>

<em>Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. </em>

<em>The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . </em>

<em>The solution to the inequality is . </em>

<em>Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.</em>

Answer:

a. 150 + 51x < 100 + 55x

b. x > 12.5

c. At least 13 months

Step-by-step explanation:

Given

First Phone;

Cost = \$100

Additional = \$55 <em>(monthly)</em>

Second Phone;

Cost = \$150

<em />Additional = \$51<em> (monthly)</em>

<em></em>

Solving (a): The inequality

<em></em>

Represent the number of months with x

The first phone is expressed as:

100 + 55x

The second phone is expressed as:

150 + 51x

For the second to be less expensive that the first, the inequality is:

150 + 51x < 100 + 55x

Solving (b): Inequality Solution

150 + 51x < 100 + 55x

Collect Like Terms

51x-55x

-4x

Solve for x

x > -50/-4

x > 12.5

Solving (c): Interpret the solution in (b)

x > 12.5 implies 13, 14, 15....

Hence, She'll keep the second phone for a period of at least 13 months

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