Question

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Time Cost
(days) ($)
3 75
4 100
5 125
6 150

A.) 75/1 dollars per day; the cost is $75 for each day
B.) 1/25 dollars per day; the cost is $25 for each day
C.) 1/50 dollars per day; the cost is $1 for 150 days.
D.) 25/1 dollars per day; the cost is $25 for each day.


PLEASE HELP WILL GIVE MEDAL ;(

Answer 1

do you know the slope formula?

Answer 2

@ertdre I do but I don't really understand it..

Answer 3

so the slope formula is \[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1}} \], which in simpler terms is taking two coordinates on a line, and finding the difference between their x's and y's then dividing them. Basically what you are doing is finding the rate of change between two points. This formula can be applied to this question, where time is your x -coord and cost is your y-coord. So a sample coord on this table would be (3,75), or the first two numbers in your table. To solve the problem, you take two points out of the table and find the rate of change between them by using the slope formula.

Answer 4

um.. okay I think I got it..

Answer 5

sorry if I confused you even further

Answer 6

but basically you cant take (3,75) and (4,100), and do \[\frac{ 100-75 }{ 4-3 }\] which equals 25/1, so D is your answer.

Answer 7

also known as $25/ 1 day or $25 a day