A rental car agency charges a flat fee of $23.00 plus $2.00 per day to rent a certain car. Another agency charges a fee of $21.00 plus $2.50per day to rent the same car. Find the cost and number of days for which the cost will be the same. Define your variables, write a system of equations and solve the system of equations using substitution or elimination.

Question

jdoe0001 · Answer

so, let us try the first agency
if you rent the car for one day, how much  will it be?

563blackghost · Answer

I only get part of this question.... But the first thing you would do is make an equation for each of these car agencies....

So we see that one car agency charges $\large{$23.00}$ $\large\color{#e12727}{"plus"}$ $\large{$2.00}$ per day.... So the equation would be...

$\LARGE{Total~=~23.00~+~2.00x~}$

Where x equals per day...

563blackghost · Answer

How would you write the second equation?...

lexy148 · Answer

21.00+2.5x

563blackghost · Answer

Correct ^^ So we now have two equations....now the total would account as y....are you familiar with slope-intercept form?...

lexy148 · Answer

yes im familiar with that

lexy148 · Answer

y=mx+b right?

563blackghost · Answer

The two equation would be written as....

$\large{y~=~23.00~+~2.00x}$ and $\large{y~=~21.00~+~2.5x}$....

Yes slope-intercept form is $\large\color{#e12727}{y~=~mx~+~b}$

lexy148 · Answer

so it would be y= 2.00x +23.00

563blackghost · Answer

Yup ^^ but this is where I get lost...

563blackghost · Answer

Is this question multiple choice?

lexy148 · Answer

no its not

563blackghost · Answer

I put these two in mathway to see in where they meet and look...they both meet at 31...

563blackghost · Answer

More exactly (4,31)