Since, A 3-mi cab ride costs $7.30 and a 8-mi cab ride costs $15.30.
In the information given above, we can consider these as the coordinate points on the axes.
Let (c, d) be the coordinates , where 'c' represents the total cost and 'd' represents the distance traveled.
Cost is on the 'y' axis and distance is on the 'x' axis.
Now, let the first point on the coordinate axes be (3, 7.30) and the other point is given by (8, 15.30).
For the given points say
and
, equation of line is given by:
where m(slope) is given by
.
The equation of line for the given points is:
![(c-7.30) = (\frac{15.30-7.30}{8-3})(d-3)](https://tex.z-dn.net/?f=%28c-7.30%29%20%3D%20%28%5Cfrac%7B15.30-7.30%7D%7B8-3%7D%29%28d-3%29)
![(c-7.30) = 1.6(d-3)](https://tex.z-dn.net/?f=%28c-7.30%29%20%3D%201.6%28d-3%29)
![c-7.30 = 1.6d-4.8](https://tex.z-dn.net/?f=c-7.30%20%3D%201.6d-4.8)
![c-1.6d=2.5](https://tex.z-dn.net/?f=c-1.6d%3D2.5)
So, c = 1.6d+2.5 is the required linear equation that models a relationship between cost c and distance d.
Factor 125x^3−64
125x^3−64 = (5x−4)(25x^2+20x+16)
Answer: (5x−4)(25x^2+20x+16)
Answer:
72 sq. inch.
Step-by-step explanation:
9 inches in feet is 9/12 = 0.75 feet.
We can set up a ratio to figure out the width of the scale drawing.
![\frac{36}{0.75}=\frac{32}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B0.75%7D%3D%5Cfrac%7B32%7D%7Bx%7D)
This means <u>"if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"</u>
<u />
let's cross multiply and solve for x:
![\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B0.75%7D%3D%5Cfrac%7B32%7D%7Bx%7D%5C%5C36x%3D32%2A0.75%5C%5C36x%3D24%5C%5Cx%3D%5Cfrac%7B24%7D%7B36%7D%3D%5Cfrac%7B2%7D%7B3%7D)
<em>So width is 2/3 feet and length is 0.75 feet.</em>
<em>Converting back to inches (since we need the area in sq. inches):</em>
<em>2/3 feet = 2/3 * 12 = 8 inches, and</em>
<em>0.75 feet = 0.75 * 12 = 9 inches</em>
<em />
<em>Hence, area is 8 * 9 = 72 sq. inches.</em>
Answer:
26% decrease is the equivalent percentage change
Step-by-step explanation:
To identify the rate of change (or unit rate) I would usually look for a pattern in the table or graph. For example, if I got a problem like what is the unit rate for price per pound of potatoes and they gave me a chart like this:
Price. Potatoes
1. 3
2. 6
3. 9
I could determine that the unit rate (or rate of change) would be that for every $1 you could get 3 potatoes
I hope this helped! Have a wonderful day! :-)