16) 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. A) $61 B) $6100 C) $180 D) $18,000

D) $18,000

Step-by-step 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

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