Question

What is this?

Answer 1

Read below.

Explanation:

Let's turn the words to a function.

We have:

`"The input is multiplied by 5, then added to 4"`

We let the input be `x` and the output be `y`

We now have:

`y=x*5+4` or `y=5x+4`

Now, we see that this is in the form `y=mx+b`.

The slope or the rate of change would be `5` and the `y` intercept would be `4`.

Now, from our chart for function `B`, let's divide the `y` by the `x`.

We get `1.5` for both sets.

Since the ratio between `x` and `y` are constant, we know that the function has the `y` intercept of `0`.

Also, the common ratio is the average rate of change. (`m=1.5`)

Using this, we can fill in the blanks.

The average rate of change in function `A` is greater than the average rate of change in function `B`.

The `y`-intercept of function `A` is greater than that of function `B`.