caterer charges $500 plus $30 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.
500 + 30g =< 8000.
g =< 250.
500 + 30g < 8,000
Let's assume the number of guests as 'g'.
According to the given information, the caterer charges a flat fee of $500 plus $30 per guest. So the total cost, C, can be represented as:
C = $500 + $30g
Walt and Traci don't want to spend more than $8000 on catering. Therefore, we can write the inequality:
C ≤ $8000
Substituting the value of C, we have:
$500 + $30g ≤ $8000
Now, let's solve the inequality for 'g':
$30g ≤ $8000 - $500
$30g ≤ $7500
Divide both sides of the inequality by $30:
g ≤ $7500 ÷ $30
g ≤ 250
Therefore, the number of guests, 'g', that can be invited is less than or equal to 250.
To solve this problem, we need to write an inequality using the given information.
Let's represent the number of guests as 'g'. According to the information given, the caterer charges a base fee of $500, and an additional $30 per guest. So, the total cost of catering will be:
Total cost = Base fee + (Cost per guest x Number of guests)
Total cost = $500 + ($30 x g)
Since Walt and Traci don't want to spend more than $8000 on catering, we can write the inequality as follows:
$500 + ($30 x g) ≤ $8000
Now, let's solve this inequality to find the range of values for 'g'.
$30 x g ≤ $8000 - $500
$30 x g ≤ $7500
To isolate 'g', divide both sides of the inequality by $30:
g ≤ $7500 / $30
g ≤ 250
Therefore, the number of guests, 'g', should be less than or equal to 250 to keep the catering cost within their budget of $8000.