70 of 500 respondents say they would visit a trampoline park. What percentage of respondents is this?
a. 14%
b.15.5%
c.17%
d.18.9%
The Correct Answer and Explanation is :
To find the percentage of respondents who say they would visit a trampoline park, you can use the formula for calculating percentages:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Total}} \right) \times 100
]
In this case:
- The part is the number of respondents who would visit a trampoline park, which is 70.
- The total is the total number of respondents, which is 500.
Now, substitute the values into the formula:
[
\text{Percentage} = \left( \frac{70}{500} \right) \times 100
]
[
\text{Percentage} = 0.14 \times 100
]
[
\text{Percentage} = 14\%
]
Therefore, the correct answer is a. 14%.
Explanation:
This problem involves calculating a percentage, which is a way of expressing a portion of a whole in relation to 100. The percentage tells us how much of the total group (500 respondents) expressed a particular response (70 respondents said they would visit a trampoline park).
To perform the calculation:
- Step 1: Divide the number of people who would visit the trampoline park (70) by the total number of people surveyed (500).
[
\frac{70}{500} = 0.14
] - Step 2: Multiply the result (0.14) by 100 to convert it into a percentage:
[
0.14 \times 100 = 14\%
]
This percentage means that 14% of the respondents are interested in visiting a trampoline park. The calculation is straightforward, involving simple division and multiplication by 100, which is the standard process for finding percentages in many situations.