Question

Miles plans on leasing a new car and has been researching options from different dealerships. For the particular model he wants, Miles compiled the information from two dealerships in the table below.

Dealership Down Payment Monthly Lease Rate
Cool Cars $1,999 $179
Awesome Autos $0 $249

Create a system of linear equations that describes the total amount, y, paid towards the lease after x months. Write the slope-intercept form of the equation for Cool Cars followed by the slope-intercept form of the equation for Awesome Autos. Do not include dollar signs in the equations.

Answer 1

Let the monthly lease = x (in dollars)

Now, as we know,

The slope-intercept form of a line is given by,
`y=mx+b`, where m is the slope and b is the y-intercept.

Here, slope represents the monthly lease rate and y-intercept represents the down payment.

So, for the 'Cool Cars', the slope-intercept form is given by,

`y=179x+1999`

Also, for the 'Awesome Cars', the slope-intercept form is given by,

`y=249x`

Hence, the system of equations is given by,

`y=179x+1999`

`y=249x`

Answer 2

slope intercept form = y=mx +b

where m would be the slope and b is the y intercept

equations would be:

cool cars: y = 179x +1999

awesome autos: y = 249x