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2 years ago

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There was a fair at Brad's high school this weekend. It was open for 10 hours on Saturday and the ticket sales were recorded. Th

e ticket sales for Saturday can be approximated by the equation y = 4.6x - 12.2. What was the approximate rate of change for the number of tickets sold?
10 tickets/hour

12.2 tickets/hour

7.6 tickets/hour

4.6 tickets/hour

1 answer:

Masteriza [31]2 years ago

3 0

Answer:

The rate of change is 4.6 tickets/hour.

Step-by-step explanation:

The equation that represents the ticket sales is the equation of a line:

y = 4.6*x - 12.2

The equation of any given line can be writen by the following formula:

y = m*x + b

Where "m" is the slope of the line, or the rate of change, while b is the value for "y" when "x" is zero. Therefore in this case the rate of change is the number multiplying "x", so 4.6 tickets/hour.

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Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

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For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

$y=16x$

If $x=10,$ then $y=16\cdot 10=160$ square feet.

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For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

$y=0.45x$

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

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when x = 1, y = 12.5

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$y=12.5x$

When $x=14,$ then $y=12.5\cdot 14=175$

Hence, the cost of 14 tickets is $175

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if x = 500 and y = 40, then

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and for x = 700, y must be $7\cdot 8=56$ not 50.

Hence, this relationship does not show the direct proportionality between x and y.

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The constant of proportionality is $k=1.75$

The equation of proportionality is $y=1.75x$

When $y=28,$ then

$28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16$

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

$k=\dfrac{61}{2}=30.5$

The equation of proportional relationship is

$y=30.5x$

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$274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9$

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

$y=kx$

Circle all equations in this form:

$y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x$

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

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3 years ago

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Answer:

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this is equivalent to the option c.

Proof:

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