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Anarel [89]
3 years ago
13

Consider the partial set of values for the functions f(x) and g(x):

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

The first row represents the input. The second row represents the value that the function f assumes for each input above. The third row represents the value that the function g assumes for each input above.

To compute f(1), we look for 1 in the first row (third column) and we look for the correspondent value for f. In this case, we have f(1)=4

Similarly, we look for 3 in the first row (last column) and we look for the value of g. In this case, we have g(3)=3.

Now we can plug the values in the formula:

f(1)+2g(3) = 4+2\cdot 3 = 4+6=10

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Step-by-step explanation:

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A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

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<h3><u>Solution:</u></h3>

Given that,

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This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

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y \propto x

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k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

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3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

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y = 0.2x

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