Question

write an equation using the distributive property to represent the total cost, c, for x number of people.
$c=(8+5)x=13x$
part 2: filling in the table
complete the table below by substituting values of x (the number of people) into your equation.
number of people (x) total cost (c)
1 ?
2 ?
3 ?
4 ?
5 ?
13
26
39
52
65
part 4: solve the equation
if emma has a budget of $100, what is the maximum number of people who can go to the amusement park while staying within the budget?

Explanation:

Step1: Set up cost inequality

$13x \leq 100$

Step2: Solve for x

$x \leq \frac{100}{13} \approx 7.69$

Step3: Take integer value of x

Since x represents people, we use the largest whole number less than 7.69.

Answer:

7 people

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Completed Table:

Number of People (x)	Total Cost (C)
2	26
3	39
4	52
5	65