Answer:
D) $18,000
Explanation:
A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by
E'(x) = 10x + 11,
where x is the number of days since the start of the job.
Find the expenditure if the job takes 5 days.
Step 1
We Integrate
E(x) =∫E'(x) dx
=∫[10(x) + 11] in hundreds of dollars
(5x² + 11x + c) in hundreds of dollars
Step 2
(5x² + 11x + c) in hundreds of dollars
x is the number of days since the start of the job.
x = 5
5x² + 11x
[5(5)² + 11(5)] in hundred of dollars
= [5 × 25 + 55] in hundreds of dollars
=[ 125 + 55] in hundreds of dollars
=[180] in hundreds of dollars
Hence the expenditure is 180 in hundreds of dollars
This means, 180 × $100
= $18000
Therefore, the expenditure costs $18,000