Sammy has $180 in her savings account and plans to deposit $20 each month.

help me plz

For a function f(x) = y.

The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.

In this problem we have:

"Sammy has $180 in her savings account and plans to deposit $20 each month."

We can define:

y = money in her savings account

x = number of months that have been passed since she started saving.

Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:

y = f(x) = $180 + $20*x

Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.

x represents the number of months that have been passed, then the values that x can take are:

x = 0, 1, 2, 3, 4, ...

So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.