5470 Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes 16 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

 1144

Step-by-step explanation:

Given: Machine A makes 7 parts every 10 minutes.

i.e. it makes parts in 1 minute.

Machine B makes 16 parts every 15 minutes.

i.e. it makes parts in 1 minute.

On Monday,

machine A makes parts for 12 hours(720 minutes).    [1 hour = 60  minutes, 12 hours = 12 x 6 = 720 minutes]

i.e. Total parts made =

i.e. Total parts made = 504

machine B makes parts for 10 hours(=60x 10=600 minutes)

i.e. Total parts made =

i.e. Total parts made = 640

Total parts made by both machines = 504+640 =1144

Hence, the total number of parts made by the two machines on Monday=1144.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the correct answer is c