Answer:
The function is, y = 2 + 3x
The rate of change of the function is 3.
The y-intercept of the function is 2.
Explanation:
Given,
For each person,
The cost of renting shoes = $ 2,
Additional cost per game = $ 3,
Thus, the total charges for x games, ( say y ) = rent + additional cost for x games
⇒ y = 2 + 3x
Which is the required function,
∵ y = 2 + 3x is a line,
We know that,
The rate of change for a line y = mx + c is m.
Thus, the rate of change of the function is 3.
Now, for y-intercept,
x = 0,
y = 2 + 3(0) = 2
So, y-intercept of the function is 2.
