Question

The rate of change is constant in the table. a) find the rate of change and b) Explain what the rate change means in the situation

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

Answer 1

rate of change = slope

`slope = (y_(2)- y_(1) )/(x_(2)- x_(1) )`

we pick any two x values so lets pick 3 and 4,

`3 = x_(1)`

`4 = x_(2)`

and our y values for these x's are 75 and 100

`75 = y_(1)`

`100 = y_(2)`

so we plug it into our equation

`(100-75)/(4-3)`

solve

`(100-75)/(4-3) = (25)/(1)=25`

and our rate of change is 25. The 25 tells us that for each additional day, the price increases by $25