Question

Mr. Radmanic and Mrs. Chin both fill up their cars with gasoline at the beginning of the week. The equation compares the number of miles driven, x, to the amount of gasoline in the tank, y. Find and compare the y-intercepts for the models and interpret their real world meanings.

Answer 1

For Mr Radmanic's car, the y-intercept is;

`\begin{gathered} y=-(1)/(20)(0)+13.6 \\ y=13.6 \end{gathered}`

For Mrs Chin's car, the y-intercept is the value of gasoline remaining at zero miles driven.

From the table the y-intercept is;

`y=13.2`

It means that at the beginning of the week ( zero miles driven), Mr Radmanic fills up his car with 13.6 gallons of gasoline, while Mrs Chin fills up her car with 13.2 gallons of gasoline. which means that Mr Radmanic's car has more gallons of gasoline than Mrs Chin's car at the beginning of the week.

Step-by-step explanation:

Given that the model for Mr Radmanic's car can be represented by the equation;

`y=-(1)/(20)x+13.6`

And that of Mrs Chin's car can be represented by the attached table.

The y-intercepts of the models is the value of y when x=0. the point at which the graph intercept the y axis.

For Mr Radmanic's car, the y-intercept is;

`\begin{gathered} y=-(1)/(20)(0)+13.6 \\ y=13.6 \end{gathered}`

For Mrs Chin's car, the y-intercept is the value of gasoline remaining at zero miles driven.

From the table the y-intercept is;

`y=13.2`

It means that at the beginning of the week ( zero miles driven), Mr Radmanic fills up his car with 13.6 gallons of gasoline, while Mrs Chin fills up her car with 13.2 gallons of gasoline. which means that Mr Radmanic's car has more gallons of gasoline than Mrs Chin's car at the beginning of the week.