Question

Please make sure you round to the nearest tenth of a percent.

Answer 1

Given:

New Value : 52%

Reference Value : 37%

a.) Absolute Change. For us to be able to determine the absolute change, the following formula will be used:

`\text{ Absolute Change = New Value - Reference Value}`

We get,

`\text{ Absolute Change = 52\% - 37\% = 15\%}`

Therefore, the politician's support has increased by 15 percentage points.

b.) Relative Change. For us to be able to determine the relative change, the following formula will be used:

`\text{ Relative Change = }\frac{\text{ Absolute Change}}{\text{ Reference Value}}\text{ x 100}`

We get,

`\text{ Relative Change = }\frac{\text{ 15\%}}{\text{ 37\%}}\text{ x 100}`
`\text{ = }0.40540540540540540540540540540541\text{ x 100}`
`=40.540540540540540540540540540541\text{\%}`
`\text{ Relative Change = 40.5\%}`

Therefore, the politician's support has increased by 40.5%.