Sheri and Tim are both selling raffle tickets at a volleyball tournament.


The table below shows the total number of raffle tickets Sheri sold at different times of the day.


Tim uses the equation below to show the number of tickets, t, he has sold after h hours.


t = 14h


Which of the following best describes the relationship of these two rates?

A. The rate that Tim sells raffle tickets is half the rate that Sheri sells raffle tickets.


B. The rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.


C. The rate that Sheri sells raffle tickets is 7 times the rate that Tim sells raffle tickets.


D. The rate that Sheri sells raffle tickets is the same as the rate that Tim sells raffle tickets.

Sheri and Tim are both selling raffle tickets at a volleyball tournament The table below shows the total number of raffle tickets Sheri sold at different times class=

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Answer:

B is the correct answer

Step-by-step explanation:

Let’s write the equation for Tim according to the question, that is t = 14h

Now for sheri, looking at the table, we can see that in two hours, he sells 14 tickets . This means that he sells at an average rate of 7 tickets per hour

Modeling his selling rate, with t being the number of tickets and h being the number of hours, we have;

t = 7h

Tim’s rate is t/h = 14

While sheri’s rate is t/h = 7

We can see that Tim’s rate is double Sheri’s rate

The rate of a linear function is simply the slope of the function.

The true statement is (b) the rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.

Tim's equation is given as:

[tex]t = 14h[/tex]

A proportional linear equation is represented as:

[tex]t = mh[/tex]

Where m represents the slope/rate.

This means that:

[tex]m = 14[/tex] --- Tim's rate

The slope of Sheri's table is calculated using:

[tex]m = \frac{y_2-y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{28 -14}{12 -10}[/tex]

[tex]m = \frac{14}{2}[/tex]

[tex]m = 7[/tex] ---- Sheri's rate

By comparison:

[tex]14 = 7 \times 2[/tex]

This means that: Tim's rate doubles Sheri's rate.

Hence, the true statement is (b)

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