A water bottle holds 120oz. Each time Anna takes a sip she drinks 10oz.a) Write a function to represent the scenario

b) How many sips can Anna take before she needs to refill?

c) Create a graph to represent this situation.

d) What is the domain of the function?

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joaobezerra joaobezerra · Answer 1 · 2022-09-09T17:40:43+02:00

From the situation described, we have that:

a) The linear function is: f(s) = 120 - 12s.

b) She can take 10 sips before she needs to refill.

c) The graph is given at the end of the answer.

d) The domain is: 0 ≤ s ≤ 10.

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the parameters are given as follows:

m = -12, b = 120.

Hence the function is:

f(s) = 120 - 12s.

She can take sips until f(s) = 0, hence:

120 - 12s = 0

12s = 120

s = 10.

She can take 10 sips before she needs to refill, and hence the domain(set that contains the input values for the function) is 0 ≤ s ≤ 10.

The graph is given at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

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