The very small city of Pleasantville is considering building a public swimming pool that costs $1,000.The table shows the five voters in the city and their marginal benefit of a swimming pool.It takes a 4/5 majority to pass any tax measure and all voters must vote. $$\begin{array} { | c | c | }
\hline \text { VOTER } & \text { MARGINAL BENEFIT } \
\hline \text { Kyle } & \$ 420 \
\hline \text { Dylan } & \$ 360 \
\hline \text { Fran } & \$ 350 \
\hline \text { Ronnie } & \$ 190 \
\hline \text { Sam } & \$ 170 \
\hline
\end{array}$$
Kyle proposes that all voters pay 68% of their marginal benefit in taxes to pay for the pool.The outcome of this proposal is __________ votes in favor,__________ votes opposed and the measure will __________.

Question

The very small city of Pleasantville is considering building a public swimming pool that costs $1,000.The table shows the five voters in the city and their marginal benefit of a swimming pool.It takes a 4/5 majority to pass any tax measure and all voters must vote. $$\begin{array} { | c | c | } 
\hline \text { VOTER } & \text { MARGINAL BENEFIT } \
\hline \text { Kyle } & \$ 420 \
\hline \text { Dylan } & \$ 360 \
\hline \text { Fran } & \$ 350 \
\hline \text { Ronnie } & \$ 190 \
\hline \text { Sam } & \$ 170 \
\hline
\end{array}$$
Kyle proposes that all voters pay 68% of their marginal benefit in taxes to pay for the pool.The outcome of this proposal is __________ votes in favor,__________ votes opposed and the measure will __________.

Quizplus · Accepted Answer

To determine if the proposal will pass, we need to calculate the total benefit and total cost of the pool. 
Total benefit: 
420 + 360 + 350 + 190 + 170 = $1490

Total cost: 
68% * (420 + 360 + 350 + 190 + 170) = 0.68 * $1490 = $1013.20

Since the cost of the pool is less than the total benefit, the proposal will pass if all voters agree. 
To get a 4/5 majority, we need at least 4 out of the 5 voters to vote in favor. 
If all voters agree to pay 68% of their marginal benefit, the cost to each voter will be: 
Kyle: 0.68 * $420 = $285.60 
Dylan: 0.68 * $360 = $244.80 
Fran: 0.68 * $350 = $238 
Ronnie: 0.68 * $190 = $129.20 
Sam: 0.68 * $170 = $115.60

Since the cost to each voter is less than their marginal benefit, all voters will vote in favor of the proposal. Therefore, the outcome will be 5 votes in favor, 0 votes opposed, and the measure will pass.

The Very Small City of Pleasantville Is Considering Building a Public