Answer :
Certainly! Let's solve the question step-by-step:
(i) Absolute Change:
We want to find the absolute change in Jennifer's weight from March to December. The formula for absolute change is:
[tex]\[ \text{Absolute change} = \text{Weight in December} - \text{Weight in March} \][/tex]
Jennifer's weight in March was 147 pounds, and her weight in December was 192 pounds. So, we calculate:
[tex]\[ \text{Absolute change} = 192 - 147 \][/tex]
When we subtract these numbers, we get:
[tex]\[ \text{Absolute change} = 45 \][/tex]
So, the absolute change in Jennifer's weight is 45 pounds.
(ii) Relative Change:
Next, we find the relative change, using March as the reference. Relative change is a way to express how much something changed in relation to the starting point, usually as a percentage. The formula for relative change is:
[tex]\[ \text{Relative change} = \left(\frac{\text{Absolute change}}{\text{Weight in March}}\right) \times 100\% \][/tex]
Plugging in the numbers:
[tex]\[ \text{Relative change} = \left(\frac{45}{147}\right) \times 100\% \][/tex]
Now, calculate the percentage:
[tex]\[ \text{Relative change} \approx 30.6\% \][/tex]
Therefore, the relative change in Jennifer's weight, rounded to the nearest tenth of a percent, is 30.6%.
To summarize:
- The absolute change in Jennifer's weight is 45 pounds.
- The relative change in Jennifer's weight is 30.6%.
(i) Absolute Change:
We want to find the absolute change in Jennifer's weight from March to December. The formula for absolute change is:
[tex]\[ \text{Absolute change} = \text{Weight in December} - \text{Weight in March} \][/tex]
Jennifer's weight in March was 147 pounds, and her weight in December was 192 pounds. So, we calculate:
[tex]\[ \text{Absolute change} = 192 - 147 \][/tex]
When we subtract these numbers, we get:
[tex]\[ \text{Absolute change} = 45 \][/tex]
So, the absolute change in Jennifer's weight is 45 pounds.
(ii) Relative Change:
Next, we find the relative change, using March as the reference. Relative change is a way to express how much something changed in relation to the starting point, usually as a percentage. The formula for relative change is:
[tex]\[ \text{Relative change} = \left(\frac{\text{Absolute change}}{\text{Weight in March}}\right) \times 100\% \][/tex]
Plugging in the numbers:
[tex]\[ \text{Relative change} = \left(\frac{45}{147}\right) \times 100\% \][/tex]
Now, calculate the percentage:
[tex]\[ \text{Relative change} \approx 30.6\% \][/tex]
Therefore, the relative change in Jennifer's weight, rounded to the nearest tenth of a percent, is 30.6%.
To summarize:
- The absolute change in Jennifer's weight is 45 pounds.
- The relative change in Jennifer's weight is 30.6%.
