Questions: Transfers as a percent of federal spending, 1950: 21.9% Transfers as a percent of federal spending, 2016: 48.7% Calculate the percent increase of federal transfer spending and overall federal spending from 1950 to 2016. Round your answers to the nearest percent. Percent increase in federal transfer spending, 1950 to 2016: Percent increase in federal spending, 1950 to 2016:

Solution Steps

To calculate the percent increase in federal transfer spending and overall federal spending from 1950 to 2016, we can use the formula for percent increase:

\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

We will apply this formula to both the federal transfer spending and the overall federal spending.

We are given the following values:

• Federal transfer spending in 1950: \(21.9\%\)
• Federal transfer spending in 2016: \(48.7\%\)

To find the percent increase in federal transfer spending from 1950 to 2016, we use the formula for percent increase: \[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Substituting the given values: \[ \text{Percent Increase} = \left( \frac{48.7 - 21.9}{21.9} \right) \times 100 \]

Simplify the numerator: \[ 48.7 - 21.9 = 26.8 \]

Now, divide by the old value: \[ \frac{26.8}{21.9} \approx 1.2247 \]

Finally, multiply by 100 to get the percent increase: \[ 1.2247 \times 100 \approx 122.47 \]

Round the result to the nearest percent: \[ 122.47 \approx 122 \]

Final Answer