Mitchell's parents rented out a bowling alley for his birthday and invited all of Mitchell's friends.

Question

Task 2: Mitchell's parents rented out a bowling alley for his birthday and invited all of Mitchell's friends. The bowling alley charges a flat fee plus a set amount for each game shown in the graph. Write an equation in slope-intercept form that describes the total cost of the party (C) based on the number of games bowled(g).

1. Identify the initial value or the b or the y-intercept.

2. What is the meaning of the initial value?

3. What is the rate of change or the slope?

4. What doe it mean?

5. What is the equation in slope intercept form in this case?

Answer 1

I don't see any graph. Here is some hep to understand the problem/questions in the problem.

The slope-intercept form for a straight line is y =mx + b ---- (1)

where y is the output, x is the input, m is the slope and b is the y-intercept.. Also note the operation between m and x, which is multiplication.

Let's write out a word equation for this problem.

Total cost of the party = flat fee + amount for the number of games bowled . ---- (2)

The flat fee is the money we pay up front , no matter how many games are bowled.. In some problems, the Flat fee is also mentioned as base amount, or initial amount, or fixed cost or minimum charge.

In this question, the flat fee is the initial cost.

The number of games bowled is given by g.

So our word equation now translates to C = initial cost + set amount for each game × g ---- (3)

Now, comparing the equation (3) with equation (1), we can match y with C, b with the initial cost, mx with the product of the set amount for each game and the number of games bowled.

I hope this helps you discover the answers using your specific graph.