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alexandr1967 [171]
2 years ago
6

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

45 to rent a table for one day and a
total of $90 to rent a table for four days, which of the following equations represents the total cost (c) to rent a table at the flea market for (d) days?
Mathematics
1 answer:
Simora [160]2 years ago
6 0

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

  • As the price rises 45, the days increase by 3
  • Slope = rise/run
  • Slope = 45/3
  • Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

  • y = mx + b
  • 45 = 15(1) + b
  • 45 = 15 + b
  • 30 = b

The base price (b) is 30.

The equation is \text{\boxed{c = 15d + 30}}

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Answer:

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<u>Given function</u>

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Answer:

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

Step-by-step explanation:

The perimeter of a triangle is the sum of all three sides

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Combine like terms

14x +3y = 91

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Simplify

Subtract 3x from each side

3x-3x+2y = 11x-3x

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Divide by 2

2y/2 = 8x/2

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Substitute 4x in the first equation every time you see y

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14x +3(4x) = 91

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Divide by 26

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y =14

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