Given:
The function gives a line with a slope of 1.65.
The monthly cost for 16 HCF is $49.67.
Required:
To find the monthly cost for 11 HCF.
Explanation:
The slope-intercept form of line is
[tex]y=mx+b[/tex]We know the slope is 1.65.
And since 16 HCF costs $49.67, we have a point on the line. (16, 49.67)
Plugging this information into our equation, we get:
[tex]\begin{gathered} 49.67=1.65(16)+b \\ \\ b=49.67-26.4 \\ \\ b=23.27 \end{gathered}[/tex]Now
[tex]y=1.65x+23.27[/tex]If we want to know how much 11 HCF costs, we just have to plug that into our equation as the x-value.
[tex]\begin{gathered} y=1.65(11)+23.27 \\ \\ y=18.15+23.27 \\ \\ y=41.42 \end{gathered}[/tex]Final Answer:
The monthly cost for 11 HCF is $41.42