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

I was out for quarantine and teacher won’t help, I need help!-example-1

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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

User TheIT
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