Question

Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study. Write a function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answer 1

Answer:

A function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x is $f(x)=72-12x$

Step-by-step explanation:

We are given that Ryan used 72 mL of food over the course of a 6 day study.

So, He used amount per day = $\frac{72}{6}$

He used amount per day =12 ml/day

Now we are given that t the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.

So, The equation becomes : f(x)=72-12x

f(x):The amount of plant food remaining

x : The number of days that have passed

Hence  a function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x is $f(x)=72-12x$