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Possible answers $2000 $20 $16 $1600 Solve the problem. Round your answer, if ap

ID: 2866773 • Letter: P

Question

Possible answers

$2000

$20

$16

$1600

Solve the problem. Round your answer, if appropriate.

A company has found that its rate of expenditure (in hundreds of dollars) on a certain type of job is given by

where x is the number of days since the start of the job. Find the total expenditure if the job takes 2 days.

Possible answers

$2000

$20

$16

$1600

Solve the problem. Round your answer, if appropriate. A company has found that its rate of expenditure (in hundreds of dollars) on a certain type of job is given by E'(x)= 6x+4 where x is the number of days since the start of the job. Find the total expenditure if the job takes 2 days. Possible answers $2000 $20 $16 $1600

Explanation / Answer

E'(x) = 6x + 4 in hundreds of dollars

Now, lets integrate this....

E(x) = (integral) (6x + 4) * dx

E(x) = 6*(x^2/2) + 4(x)

E(x) = 3x^2 + 4x

Now, we know that the job takes 2 days.. So, the integral limits are 0 to 2

(3x^2 + 4x) over 0 to 2

3(2^2) + 4(2) - 3(0)^2 - 4(0)

12 + 8

20 --> this is the expenditure in hundreds of dollars

So, expenditure = 20 * 100 ---> 2000 dollars

Option A --- $2000