The number of people who watch a singing competition can be given by $p = 0.15 v$ , where $p$ represents the number of people in millions who saw the show and $v$ is the number of potential viewers in millions.
a. Make a table of values for the points $(v, p)$ .
b. Graph the equation.
c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.
d. Explain why it would not make sense for $v$ to be a negative number.

Question

The number of people who watch a singing competition can be given by $p = 0.15 v$ , where $p$ represents the number of people in millions who saw the show and $v$ is the number of potential viewers in millions.
a. Make a table of values for the points $(v, p)$ .
b. Graph the equation.
c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.
d. Explain why it would not make sense for $v$ to be a negative number.

Accepted Answer

a. The table of values for the points $(v, p)$ is:

$v$	$p$	$(v, p)$
0	0	$(0, 0)$
1	$0.15$	$(1, 0.15)$
2	$0.3$	$(2, 0.3)$
3	$0.45$	$(3, 0.45)$

b. The graph of the equation is:

c. when the number of potential viewers are 14 million then the number of people who saw the show is $2.1$ million.

d. The reason why it would not make sense for $v$ to be a negative number is that the $v$ represents the number of potential viewers in millions and the number of potential viewers cannot be negative therefore width="10" style="max-width: none; vertical-align: -4px;" $v$ cannot be negative number.

Number of Pounds	1	2	3	4
Total Cost ($)	1.25	2.50	3.75	5.00

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Algebra 1

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Step by Step Solution

Part a. Step 1. Find the values of p for some values of v.

Part a. Step 2. Make a table of values for the points v,p.

Part b. Step 1. Plot the points v,p from the above table.

Part b. Step 2. Graph the equation.

Part c. Step 1. Observe the graph of the equation.

Part c. Step 2. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.

Part d. Step 1. State the condition on number of viewers.

Part d. Step 2. State the reason why it would not make sense for v to be a negative number.

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Algebra 1

Answers without the blur.

Short Answer

Step by Step Solution

Part a. Step 1. Find the values of p for some values of v.

Part a. Step 2. Make a table of values for the points v,p.

Part b. Step 1. Plot the points v,p from the above table.

Part b. Step 2. Graph the equation.

Part c. Step 1. Observe the graph of the equation.

Part c. Step 2. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.

Part d. Step 1. State the condition on number of viewers.

Part d. Step 2. State the reason why it would not make sense for v to be a negative number.

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