Question

1. An amusement park is tracking the number of adults and kids are on different rides. The table rows how the number of adults and kids are related. Adults (x) and Kids (y) :Ax + By =C y = mx + b Write the standard form and slope intercept form equations for the scenario given. Adults (x) 100 200 300 400 Kids (y) 300 500 700 900 Hint: use your calculator (STAT: Edit)

Answer 1

`\begin{gathered} \text{ First, we wil write the equation in the form slope-intercept:} \\ y=mx+b \\ \text{ where } \\ m=(y_2-y_1)/(x_2-x_1) \end{gathered}`
`\begin{gathered} So\text{ } \\ m=(500-300)/(200-100)=(200)/(100)=2 \end{gathered}`
`\begin{gathered} \text{And the equation is } \\ y=2x+b \\ If\text{ we replace x=100, and y=300, we get} \\ \\ 300=2\cdot100+b \\ 300=200+b \\ 100=b \end{gathered}`
`\begin{gathered} \text{Then te slope-intercept equation is} \\ y=2x+100 \\ and,\text{ the standard form is} \\ \\ y-2x=100 \\ -2x+y=100 \\ \end{gathered}`