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VMariaS [17]
2 years ago
13

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
Mathematics
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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Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

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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:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

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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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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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

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When y=274.50, then

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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:

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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).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0
3 years ago
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Answer:

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=================
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