A bowling alley charges each person $2 to rent shoes and $3 per game. Which function represents The rate of change of the function is The y-intercept of the function the cost for each person to bowl? represents

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.