Answer:
To find the greatest number of people Mark and Heather Starr can invite and still stay within their budget, you can set up an equation using the given information.
Let x be the number of people they invite.
The cost of the reception hall can be calculated as follows:
Cost = Cleanup Fee + (Cost per person * Number of people)
Cost = $70 + ($35 * x)
Now, they have budgeted $2,000 for the reception, so you can set up the equation:
$2,000 = $70 + ($35 * x)
Subtract $70 from both sides of the equation:
$2,000 - $70 = $35 * x
$1,930 = $35 * x
Now, divide both sides by $35 to solve for x:
x = $1,930 / $35
x ≈ 55.14
Since you cannot invite a fraction of a person, you should round down to the nearest whole number because they can't invite a fraction of a person. Therefore, they can invite a maximum of 55 people.
The answer is not one of the provided options (a) 50 people, (b) 57 people, (c) 58 people, or (d) 59 people.
Explanation: