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?

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

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

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

if you was gonna solve for a, a is a   < -12