Question

Andy and Jacob work as technicians in a laboratory where gemstones are tested and certified. Andy has already tested 30 gemstones and continues testing at a rate of 30 gemstones per hour. Jacob has already tested 40 gemstones and continues testing at a rate of 25 gemstones per hour. Which function can Andy and Jacob use to determine the total number of gemstones they have tested after x hours? How many gemstones will they have tested after 5 hours? A. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 55x + 10. Thus, they will have tested 285 gemstones in 5 hours. B. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 70x + 55. Thus, they will have tested 405 gemstones in 5 hours. C. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 55x + 70. Thus, they will have tested 345 gemstones in 5 hours. D. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 60x + 65. Thus, they will have tested 365 gemstones in 5 hours.

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

Andy tested gemstones already = 30

Jacob tested gemstones already = 40

Total gemstones tested by Andy and Jacob already = 30+40 = 70

Andy continue to test gemstones per hour = 30

Jacob continue to test gemstones per hour = 25

Total gemstones tested by Andy and Jacob per hour = 30 +25 = 55

The total number of gemstones tested by Andy and Jacob after x hours will be: 55x

So, the equation will be: f(x) = 55x + 70

After 5 hours i.e. x =5

f(5) = 55(5) + 70

f(5) = 275 + 70

f(5) = 345

Andy and Jacob will have tested 345 gemstones in 5 hours.

So, Option C is correct.