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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 in set notation of the function?

1 Answer

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Answer:

Explanation:

a) To represent this scenario with a function, you can define a function f(x) where x represents the number of sips Anna takes. Each sip is 10 ounces, and the water bottle holds 120 ounces. So, the function would be:

f(x) = 120 - 10x

b) To find out how many sips Anna can take before she needs to refill, you can set the function equal to 0 and solve for x:

120 - 10x = 0

10x = 120

x = 12

Anna can take 12 sips before she needs to refill the water bottle.

c) Here's a graph representing the situation:

|

120 |-----------------

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

| /

|/

+-----------------

0 1 2 3 4

d) The domain of the function represents the values that x can take. In this case, x represents the number of sips, so it must be a whole number. Therefore, the domain in set notation is:

Domain: x is a whole number, x ≥ 0

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