Question

Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment. How many lamps are available at the end of an 8-hour shift?

Answer 1

the correct answer is 163

Answer 2

130 lamps are available at the end of an 8-hour shift

Explanation:

Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment

LEt x be the number of hours and y be the lamps available

(3,75) (5,97)

Make the equation y=mx+b

m is the slope and b is the y intercept

`m=(y_2-y_1)/(x_2-x_1) =(97-75)/(5-3) =(22)/(2) =11`

y=11x+b

Now solve for b using (3,75)

75 = 11(3) +b

75 = 33 + b

Subtract 33 from both sides

42= b

So equation becomes y= 11x + 42

To find available lamps at the end of 8 hours, plug in 8 for x

y= 11(8) + 42= 130