Question

Find a linear function that describes the situation below, then use your function to answer the question.When Tony worked for the Dombroski family, he earned $11 for a three hour job, and $17 for a five hour job. How much will he earn for a six hour job?

Answer 1

Let us take the given information in as the coordinates,

(3,11) and (5,17)

Using two point formula, find the linear equation,

$\begin{gathered} \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\ \frac{y-11}{17-11}=\frac{x-3}{5-3} \\ \frac{y-11}{6}=\frac{x-3}{2} \\ 2y-22=6x-18 \\ 2y-6x-4=0 \\ y-3x-2=0 \end{gathered}$

Put x=6 for 6 hour job, we get,

$\begin{gathered} y-3(6)-2=0 \\ y-18-2=0 \\ y=20 \end{gathered}$

Hence, he will earn $20 for 6 hour job.