Question

George plans to order flowers for his daughter's graduation. A bouquet of 12 roses will cost $61, while a bouquet of 18 roses will cost $79. What is the equation that represents the linear relationship between price and number of roses? Let P represent the price, and r the number of roses.

Answer 1

Explanation:

Start by finding the slope of the line that passes through both the 12 roses bouquet and the 18 roses bouquet.

point 1: (12,61)

point 2: (18,79)

m=y^2-y^1/x^2-x^1

m=79-61/18-12

m=18/6

m=3

then, using one of the points find the fixed costs

P=m*r+b

using 12,61

61=3*12+b

61-36=b

b=25

Answer:

The general equation that represents the linear relationship is:

P=25+3r