Question

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?

Answer 1

c = 15d + 30

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}}`