Which of the following situations could be represented by the equation y = 3x + 5? A.
A bricklayer lays 5 bricks in 3 minutes. What is the total number of bricks he can lay in x minutes?

B.
An express package costs $5 plus $3 per pound to ship. What is the total cost for x pounds?

C.
A jogger is 3 miles from home, jogging toward home at 5 miles per hour. What is the total number of minutes it will take her to get home?

D.
A math teacher gave some problems worth 5 points and a bonus problem worth 3 points. What was the total value of the problems?

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:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

to be honest i don't know but i need points so