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3 years ago

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What is being done to the variable in the equation y + 8.5 = 17.2? The number 8.5 is being added. The number 8.5 is being subtra

cted. The number 17.2 is being added. The number 17.2 is being subtracted.

2 answers:

spayn [35]3 years ago

8 0

The number 8.5 is being added, y is the variable and the equation shows y being added to 8.5 to equal 17.2

snow_lady [41]3 years ago

4 0

Number 8.5 is being added to y

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Based on the graphs representing Tyler and Hana's cell phone plans, we can say that:

They are similar because their slopes are the same.
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<h3>How are the graphs related?</h3>

Hana's plan has a $50 monthly charge which is the same as Tyler's. This means that Tyler and Hana's graph will have the same slope because their total amounts are changing by the same amount.

Tyler's y-intercept would be $350 which was the starting point of his plan and Hana's y-intercept would be $250. Their intercepts would therefore be different.

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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

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In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

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1 year ago