Suppose you earn $20 each time you mow the lawn. Use function notation to describe the relationship between your total earnings E and the number of times m you mow the lawn.

I dont really understand this. If someone could explain it to me I would appreciate <3

E(m) is earnings as a function of number of times m

E(m) = 20 m

Certainly! In this scenario, we can represent the relationship between your total earnings (E) and the number of times you mow the lawn (m) using function notation.

Function notation is a way to mathematically describe a relationship between two quantities. In this case, we can define a function, let's say "E(m)", where "E" represents your total earnings and "m" represents the number of times you mow the lawn.

To describe the relationship, we'll state that your total earnings (E) depend on the number of times you mow the lawn (m) and can be calculated by multiplying the number of times you mow (m) by the amount you earn each time you mow ($20).

Using function notation, we can express this as:

E(m) = 20m

Here, "E(m)" represents the earnings as a function of the number of times you mow the lawn, and "20m" represents the amount you earn each time you mow multiplied by the number of times you mow.

For example, if you mow the lawn 5 times, you can find your total earnings by substituting "5" for "m" in the function:

E(5) = 20(5) = 100

So, if you mow the lawn 5 times, your total earnings would be $100.

Of course! I'll be happy to explain it to you.

In mathematics, a function is a relationship between two variables, where one variable depends on the other. In this case, the number of times you mow the lawn (m) will determine your total earnings (E).

To describe this relationship using function notation, we can define a function called "E" that takes the variable "m" as input and gives the earnings as output. This can be written as:

E(m) = 20m

Let's break it down:

- The function name is "E", which represents your total earnings.
- The variable inside the parentheses, "m", represents the number of times you mow the lawn.
- The expression on the right side of the equation, "20m", is the formula that calculates your earnings based on the mowing frequency. Here, we multiply the number of times you mow (m) by the amount you earn per mow ($20).

Now, whenever you want to know how much you would earn for a given number of times mowing the lawn, you can substitute that value into the function E(m) and calculate the result.

For example, if you mow the lawn 4 times, you can calculate your earnings using the function:

E(4) = 20 * 4
E(4) = 80

So, if you mow the lawn 4 times, your total earnings would be $80.

I hope this explanation helps you understand the concept of function notation in this context. Let me know if you have any further questions!