Ricky can type 161 words in 7 minutes. at this rate, joe says that ricky should be able to type 174 words in 20 minutes. sue says that joe is incorrect and ricky can type 460 words in 20 minutes. mary says that both joe and sue are incorrect. mary thinks that ricky should be able to type .87 words per 20 minutes. who is correct? justify and explain why that person is correct.

Step-by-step explanation:

161 words in 7 minutesthats (161 / 7) = 23 words per minute

so in 20 minutes, he can type (23* 20) = 460 words

Sue got it right

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: