Can someone explain this please?

A technician can test video player chips at the rate of -3t^2 +16t+5 chips per hour (for≤0 ≤t ≤6), where t is the number of hours after 9:00 am. How many chips can be tested between 11:00 am to 3:00 p.m.? (assume t=0 for 9:00 a.m.)

Respuesta :

Answer:

17 chips

Step-by-step explanation:

The equation that models the situation is

[tex]f(t) = - 3 {t}^{2} + 16t + 5[/tex]

Between 11:00 am, to 3pm, 4 hours have passed.

We substitute t=4 to get:

[tex]f(4) = - 3 {(4)}^{2} + 16 \times 4 + 5[/tex]

[tex]f(4) = - 48+ 64+ 5 = 17[/tex]

Therefore between 17 chips can be tested between 11:00 am to 3:00 p.m

Answer:

the number of chips tested between

11:00a.m. to 3:00p.m. is 68.

Step-by-step explanation: