A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.
Responses
A 300 - 40g ≥ 5000; g ≥ 117300 - 40g ≥ 5000; g ≥ 117
B 300 - 40g ≤ 5000; g ≤ 118300 - 40g ≤ 5000; g ≤ 118
C 300 + 40g ≤ 5000; g ≤ 117300 + 40g ≤ 5000; g ≤ 117
D 300 + 40g ≤ 5000; g ≤ 118300 + 40g ≤ 5000; g ≤ 118
The correct answer is D.
The total cost of catering is $300 + $40 per guest, which we want to be less than or equal to $5,000.
So, the inequality is:
300 + 40g ≤ 5000
Solving for g:
40g ≤ 4700
g ≤ 117.5
Since you can't invite a fraction of a guest, the maximum number of guests that can be invited is 117.