Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."

<h3>According to the given information :</h3>

1) Ticket for an art museum costs $12.50

2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).

In other words, the total expense is always 12.5 times the quantity of tickets sold.

3) This indicates that we can create this ---> t = 12.5s.

An equation that models the proportional relationship between t and s.

t = 12.5s

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6 0

1 year ago

the graph of the function y=x^(2) is reflected across the x-axis, then translated two units left and six units down, write and e

dem82 [27]

Answer: -4,-2

Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4

8 0

2 years ago

In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$

Hence, x value is 12 when y value is 9

3 0

3 years ago

What is the five-number summary of this data set? {852, 687, 515, 986, 907, 784, 967, 685, 965} Drag the numbers into the boxes

Margaret [11]

Answer:

What is the five-number summary of this data set? {852, 687, 515, 986, 907, 784, 967, 685, 965} Drag the numbers into the boxes to correctly complete the five-number summary.

3 0

1 year ago

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