(a.): For what amount of driving do the two plans cost the same?
2 answers:
Write the expression for each plan, and set them equal to each other.
For part a) solve for m.
For part b) substitute the value of m back into each expression.
For part a) solve for m.
For part b) substitute the value of m back into each expression.
First plan: 53 + 0.08m
Second plan: 46 + 0.12m
____________________________________________________________
Make the two plans equal to each other & solve.
53 + 0.08m = 46 + 0.12m
Subtract 46 from both sides.
7 = 0.04m
Divide both sides by 0.04.
m = 175
Driving 175 miles would make the two plans cost the same.
Plug 175 into either one of the plans. We'll plug 175 for m into both just to double check :)
First plan: 53 + 0.08m ⇒ 53 + 0.08(175) = 67
Second plan: 46 + 0.12m ⇒ 46 + 0.12(175) = 67
The cost when the two plans cost the same is $67.
You might be interested in
Hello,
I'm not going to do it for you, I'll explain you how to do it, so you can LEARN something. Like that is the equation of a line, we only need two points to draw it, they can be the x-intercept an y-intercept.
When we are looking for the x-intercept, y=0
And when we are looking for the y-intercept, x=0
Like you can see in the picture, so replace x=0 to find the y-intrcept and y=0 to find the x-intercept and join them, as you saw in the picture and there you have the graph.
If you have any trouble don't hesitate to tell me.
I'm not going to do it for you, I'll explain you how to do it, so you can LEARN something. Like that is the equation of a line, we only need two points to draw it, they can be the x-intercept an y-intercept.
When we are looking for the x-intercept, y=0
And when we are looking for the y-intercept, x=0
Like you can see in the picture, so replace x=0 to find the y-intrcept and y=0 to find the x-intercept and join them, as you saw in the picture and there you have the graph.
If you have any trouble don't hesitate to tell me.