Final Answer:
The correct answers for the problems are:
1. Equation: $ y = 10 \cdot 2^x $
- Time to reach 2560: 8 hours
- Time to reach more than 1000: after 7 hours (since at 7 hours it’s 1280)
2. Equation: $ y = 2^{x-3} + 4 $
3. Equation: $ y = 500 \cdot \left(\frac{3}{2}\right)^x $
- Amount after 4 years: $1265.63
- Time to double: about 1.7 years
4. Equation: $ y = 3 \cdot \left(\frac{1}{2}\right)^x $
- Distance after 3 jumps: 0.375 meters
- Will never reach 0 (gets closer but never touches)
5. Equation: $ y = 2 \cdot 3^x $
- After 4th passing: 162 people told
6. Equation: $ y = 90 \cdot (0.9)^x $
- After 5 years: 53.14 tons left
- Time to drop below 10 tons: about 21 years
──────────────────────────────────────
Parent Tip: Review the logic above to help your child master the concept of exponential function word problems worksheet with answers.
