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 the number of roses?

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)
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ then, \\ m=\frac{79-61}{18-12} \\ m=\frac{18}{6} \\ m=3 \end{gathered}[/tex]then, using one of the points find the fixed costs
[tex]\begin{gathered} P=m\ast r+b \\ using\text{ \lparen12,61\rparen} \\ 61=3\ast12+b \\ 61-36=b \\ b=25 \end{gathered}[/tex]Answer:
The general equation that represents the linear relationship is:
[tex]P=25+3r[/tex]