(1 point)
A factory produces bicycles at a rate of $105 + 0.5 t^{2} - 0.9 t$ bicycles per week ( $t$ in weeks). How many bicycles were produced from day 15 to 28 ?
Answer: $◻$ bicycles. (Note: Round down to the nearest whole number since a factory only produces whole bicycles.)
Preview My Answers
Submit Answers

Answer

Expert–verified

Hide Steps

Answer

The total number of bicycles produced from day 15 to day 28 is $198$ bicycles

Steps

Step 1 ：Convert days to weeks: Day 15 is equivalent to $\frac{15}{7}$ weeks and day 28 is equivalent to $\frac{28}{7}$ weeks

Step 2 ：Calculate the definite integral of the rate function from $\frac{15}{7}$ to $\frac{28}{7}$ to find the total number of bicycles produced

Step 3 ：Round down the result to the nearest whole number since a factory only produces whole bicycles

Step 4 ：The total number of bicycles produced from day 15 to day 28 is $198$ bicycles