Interpretation of Y Intercept

In an exponential function, what is an interpretation of the y-intercept?

• 
  initial amount

• 
  ending amount

• 
  growth factor

• 
  decay factor

A lake near the Arctic circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a a constant rate. The equation shows the ice sheet's thickness, S, measured in meters, t weeks after it begins to melt. Interpret the y-intecept

S = -0.25t + 4

• At the beginning of spring, the ice is 0.25 m thick

• At the beginning of spring, the ice is 4 m thick

• At the beginning of spring, the ice is decreasing in thickness

• At the beginning of spring, the ice is starting to melt

A cruise ship drops anchor off the Caribbean island of Antigua. The anchor drops into the water at a constant rate. The equation shown above gives the anchor's elevation, E, measured in meters relative to the water's surface, after t seconds. Interpret the y-intecept.

E = -2.4t+75

• The anchor falls 2.4 meters

• Before the anchor drops, it is 75 m in the air

• The anchor is dropping at 75 m each second

• Before the anchor drops, it is 2.4 m in the air.

A technician is transferring files from a mainframe onto a flash drive at a constant rate. The equation shown gives the number of megabytes, S, on the flash drive after t seconds. Interpret the y-intercept.

S = 5t + 45

• The files are being transferred onto the flash drive at 5 MB per second.

• The files are being transferred onto the flash drive at 45 MB per second.

• The flash drive has 45MB of storage space

• The flash drive has 45 MB of data at t=0 seconds

What is the y-intercept?

• 0.25

• 4.5

• 5

• 4

Given the table, what is the y-intercept?

• (0,-2)

• (-2,0)

• (10,0)

• (0,10)

Tags

AI.9.3.C

What is the y-intercept?

• 0

• 16

• 10

• 12

What is just the y intercept of this equation?

• 14

• -1

• G

• t

The y intercept is 14. What is its interpretation in the context of this problem?

• The total amount of gas left

• How much gas Dominic used every mile

• The number of gallons of gas Dominic filled up at the beginning of the trip

• The number of hours driven

The y intercept is 70. What is its interpretation in the context of this problem?

• The amount Jaxon originally borrowed from his friend

• The amount Jaxon is paying his friend back every week

• How long it takes to pay his friend back

• The number of video games