Certainly! Let's go through the solution step-by-step:
1. Determine the Height at Specific Ages:
- Paige was 37 inches tall when she turned 4 years old.
- Paige was 41 inches tall when she turned 5 years old.
2. Calculate the Annual Height Increase:
- From age 4 to age 5, Paige grew from 37 inches to 41 inches.
- To find the annual increase in height, subtract the height at age 4 from the height at age 5:
[tex]\[
\text{Annual Height Increase} = 41 \text{ inches} - 37 \text{ inches} = 4 \text{ inches}
\][/tex]
3. Determine the Number of Years from Age 5 to Age 8:
- Paige is 5 years old and we want to find her height at age 8.
- The number of years between age 5 and age 8 is:
[tex]\[
\text{Years from Age 5 to Age 8} = 8 - 5 = 3 \text{ years}
\][/tex]
4. Calculate the Total Height Increase Over These Years:
- If Paige grows by 4 inches each year, the total increase in height over 3 years is:
[tex]\[
\text{Total Height Increase} = 4 \text{ inches/year} \times 3 \text{ years} = 12 \text{ inches}
\][/tex]
5. Determine the Height at Age 8:
- To find Paige’s height on her 8th birthday, add the total height increase to her height at age 5:
[tex]\[
\text{Height at Age 8} = 41 \text{ inches} + 12 \text{ inches} = 53 \text{ inches}
\][/tex]
Therefore, Paige will be 53 inches tall the day she turns 8 years old.
