Question

I was out for quarantine and teacher won’t help, I need help!

Answer 1

A linear equation can be written as:

`y=mx+b`

Let:

y = c = Cost

x = h = Hours

Using the data, we can create a 2x2 system of equations. So:

`\begin{gathered} x=2,y=20 \\ 20=2m+b_{\text{ }}(1) \\ ---------- \\ x=8,y=50 \\ 50=8m+b_{\text{ }}(2) \end{gathered}`

Using elimination method:

`\begin{gathered} (2)-(1) \\ 50-20=8m-2m+b-b \\ 30=6m \\ m=(30)/(6) \\ m=5 \\ so\colon \\ 20=2(5)+b \\ b=10 \end{gathered}`

Therefore,the linear equation is given by:

`y=5x+10`

For a equation of the form y = mx + b

m = Slope (rate)

b = y-intercept (Initial value)

Therefore the hourly rate for renting a bicycle is $5 and the deposit is $10