Sal was tired of waiting for amir to show up at their meeting place, so he started running at an average speed of 4.5 mph without him. ten minutes later, amir still had 0.25 of a mile to go before he reached the meeting place, but sal was 0.75 of a mile beyond it. if amir is running at a faster pace, 6.7 mph, to the nearest hundredth of an hour, after how much time will amir catch up to sal? 0.04 hours 0.09 hours 0.23 hours 0.45 hours

The correct answer is 0.45 hours.

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: