Respuesta :

danicadavila04

Answer:

option 1

Step-by-step explanation:

- we can easily rule out option 2, since 1/25 would not come out to $25 each day.

-we can rule out options 3 and 4 since it was not $75 each day and not $1 for 150 days.

-we can conclude that the correct answer is option 1, 25/1, because if we divide that, we get $25, the amount each day spent.

hope this helps :)

yemmy

Answer:

25/1 OR 1/25

Step-by-step explanation:

Time(days)               Cost($)

3                               75

4                               100

5                               125

6                               150

Time in days is increasing by 1

cost in $ is increasing by 25

the linear equation connecting the two tables is given thus

[tex]C = 25T[/tex]

OR

[tex]T = \frac{C}{25}[/tex]

using any of the two equations you can get the other variable by substituting one variable

rate of change usually exist between two variables

in this case, variable T (which is time in days) and variable C (which is cost in $)

rate of change of C with respect to T can be gotten by

differentiating the first equation

ΔC/ΔT = dC/dT = 25 (same thing as [tex]\frac{25}{1}[/tex]) option 1 is correct on that

rate of change of T with respect to C can be gotten by

differentiating the second equation

ΔT/ΔC = dT/dC = [tex]\frac{1}{25}[/tex] option 2 is also correct the other way

In this case we are looking at the rate of change of cost, C, in dollars with respect to Time T in days and vice versa

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