Question Find the percent change in the weight Jake can lift, from 25 lbs on Monday to 45 lbs one month later.

Studdy Solution

STEP 1

Assumptions
1. Jake's initial lifting capacity is 25 lbs.
2. Jake's lifting capacity one month later is 45 lbs.
3. Percent of change is calculated using the formula:
$\text{Percent of change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%$

STEP 2

First, we need to find the change in the number of pounds Jake can lift. We do this by subtracting the initial lifting capacity from the later lifting capacity.
$\text{Change in pounds} = \text{Later lifting capacity} - \text{Initial lifting capacity}$

STEP 3

Now, plug in the given values for the initial and later lifting capacities to calculate the change in pounds.
$\text{Change in pounds} = 45\, \text{lbs} - 25\, \text{lbs}$

STEP 4

Calculate the change in pounds.
$\text{Change in pounds} = 45\, \text{lbs} - 25\, \text{lbs} = 20\, \text{lbs}$

STEP 5

Next, we will calculate the percent of change using the change in pounds and the initial lifting capacity.
$\text{Percent of change} = \frac{\text{Change in pounds}}{\text{Initial lifting capacity}} \times 100\%$

STEP 6

Plug in the values for the change in pounds and the initial lifting capacity to calculate the percent of change.
$\text{Percent of change} = \frac{20\, \text{lbs}}{25\, \text{lbs}} \times 100\%$

STEP 7

Calculate the percent of change.
$\text{Percent of change} = \frac{20}{25} \times 100\% = 0.8 \times 100\% = 80\%$
Jake's percent of change in the number of pounds he can lift is 80%.

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