Final answer:
To line a 48-foot hallway with posters 3 feet wide and 6 feet apart, the Green Party can fit 5 sets of posters on each side, totaling 10 posters. At a cost of $5.95 per poster, the estimated total cost is $59.50.
Step-by-step explanation:
To estimate the cost of lining a 48-foot hallway with posters, we need to calculate the total number of posters that can fit along the hallway's length, considering each poster's width and the space between them. As specified, each poster is 3 feet wide and there will be a 6-foot gap between them. Additionally, the first poster on each end will be even with the start and end of the hall, which means we do not need to account for additional space at the ends beyond the last posters.
The total available length for posters and gaps is 48 feet. To find out how many sets of a poster and a gap can fit, we calculate:
Total length per poster and gap is 3 feet (poster width) + 6 feet (gap) = 9 feet
Number of posters and gaps that can fit is 48 feet ÷ 9 feet = 5.33, which we round down to 5 sets since we can't have a fraction of a set.
Since there are two sides to the hallway, we multiply the number of sets by 2, resulting in 5 sets × 2 = 10 posters in total.
Finally, multiplying the cost of each poster by the number of posters gives us the total cost:
$5.95 (cost per poster) × 10 (number of posters) = $59.50
Therefore, the Green Party will spend an estimated $59.50 on posters.