The amount of grain in a silo is changing at a rate of –35.2 kilograms per hour. What is the change in the amount of grain in the silo after 1.25 hours? −44 −36.45 36.45 kg 44 kg
Mathematics · High School · Mon Jan 18 2021
Answered on
Answer: To find the change in the amount of grain in the silo after 1.25 hours, we need to multiply the rate of change by the amount of time. The rate of change is given as -35.2 kilograms per hour, which means 35.2 kilograms of grain are being removed from the silo each hour.
So, we calculate the change like this:
Change in grain = Rate of change × Time Change in grain = (-35.2 kg/hour) × (1.25 hours)
Now, perform the multiplication:
Change in grain = -35.2 × 1.25 Change in grain = -44 kg
The negative sign indicates that the grain is being removed from the silo. Hence, the amount of grain decreases by 44 kilograms after 1.25 hours. Therefore, the answer is -44 kg.