Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by , where t is the number of days on the job. Is this function continuous at

Question

Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by  , where t is the number of days on the job. Is this function continuous at

Quizplus · Accepted Answer

A function is continuous at a point if and only if the limit of the function as x approaches that point exists and is equal to the value of the function at that point. In this case, we need to check if the limit of M as t approaches 7 exists and is equal to M(7).

Taking the limit as t approaches 7, we get:

lim(M) as t approaches 7 = lim(4t - 13) as t approaches 7

= 4(7) - 13

= 15

Since M(7) = 15 as well, we see that the function is continuous at t = 7. Therefore, the answer is A.

Suppose That the Average Number of Minutes M That It