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Tcecarenko [31]
3 years ago
8

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each mo

rning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Mathematics
2 answers:
Andrew [12]3 years ago
8 0
48divided by 2 equals 24
kykrilka [37]3 years ago
7 0

Answer:

The required equation is y = 2x - 48.

Step-by-step explanation:

Consider the provided information.

Let x is the number of hot dogs he sold.

He earns the profit of $2 for each hot dog sold.

Thus, if he sold x hot dogs then profit is: 2x

It costs the owner $48 dollars each morning for the day’s supply of hot dogs,

That means he invest $48 in the morning. So 48 will comes up with a negative sign as 48 is not the profit.

Therefore, the equation represents y, the profit earned by the hot dog stand for x hot dogs sold is:

y = 2x - 48

Hence, the required equation is y = 2x - 48.

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Step-by-step explanation:

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Devin has $30 on his bus card. Every time he rides a bus, $1.20 is deducted from the value on his card. The amount if money he h
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Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

                                                  3.60 = -1.2x + 30

subtract 30 from both sides:  -26.4 = -1.2x

divide both sides by -1.2:             22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

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