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.
The inequality that represents the situation is:
300 + 40g ≤ 5000
To solve for g, we subtract 300 from both sides:
40g ≤ 4700
Next, we divide by 40 on both sides:
g ≤ 4700/40
Simplifying:
g ≤ 117.5
Therefore, the number of guests, g, that can be invited is less than or equal to 117.5. However, since the number of guests must be a whole number, the maximum number of guests that can be invited is 117.