To determine how many more roses the grower can expect to grow per year after using the pesticide, we will follow these steps:
1. Identify the initial conditions:
- The initial annual yield is [tex]\( 1100 \)[/tex] roses.
- The pesticide reduces the pest population by [tex]\( 60\% \)[/tex].
2. Assumption:
- We assume that the reduction in pest population leads to a proportional increase in the yield of roses. This means if the pests are reduced by [tex]\( 60\% \)[/tex], the yield would increase by [tex]\( 60\% \)[/tex] as well, due to decreased pest damage.
3. Calculate the expected yield increase:
- First, express the percentage increase as a decimal: [tex]\( 60\% = 0.60 \)[/tex].
- Calculate the increase in yield by multiplying the initial yield by this decimal:
[tex]\[
\text{Yield Increase} = 1100 \times 0.60
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{Yield Increase} = 1100 \times 0.60 = 660
\][/tex]
5. Conclusion:
- The expected increase in the annual yield of roses, after using the pesticide, is [tex]\( 660 \)[/tex] roses.
Therefore, the grower can expect to grow [tex]\( 660 \)[/tex] more roses per year after reducing the ant population by [tex]\( 60\% \)[/tex] using the pesticide.
