Respuesta :
Answer:
130 lamps are available at the end of an 8-hour shift
Step-by-step 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
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{97-75}{5-3} =\frac{22}{2} =11[/tex]
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
