What is this?

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1 Answer
Mar 19, 2018

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#.