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.

Dealerships\ Downpayment \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

y = 179x +1999

y = 249x

Explanation:

Given:

down payment of cool cars= $1999

monthly lease rate of cool cars= $179

down payment of awesome autos= $0

monthly lease rate of awesome autos= $249

Number of months=x

total amount paid towards the lease after x months=y

Now creating a system of linear equations that describes the total amount, y, paid towards the lease after x months:

the slope intercept form of any linear function is given as y=mx +b

where m= slope of function and b=y-intercept

In given case, slope m gives the monthly lease rate and y-intercept b gives the down payment.

So the equations for the two linear functions will be:

cool cars:

Putting the values of m=179 and b=1999, we get

y = 179x +1999

awesome autos:

Putting the values of m=249 and b=0, we get

y = 249x !