Which of these graphs represent a function?

Mathematics

1 answer:

melomori [17]3 years ago

7 0

Answer:

C.)

Step-by-step explanation:

There are multiple technical ways to explain this but the best one that works for me is the "vertical line test" can be used to find a function or non function. All you have to do is position your pencil vertically, place it to the far left of the graph drag it horizontally across to the right side of the graph. If your pencil is making contact with two lines at one time, it is NOT a function. Hopefully this makes sense.

You might be interested in

Femi keeps track of a number of gallons of gasoline he uses for each of several trips. Part A: Complete the table. The vehicle c

Katena32 [7]

The table is attached.

A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.

Therefore, the proportionality constant is given by:
k = gasoline / distance
   = 2 / 40
   = 0.05
We could have used also:
k = 3 / 60
   = 0.05

In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75

In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70

B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline

Therefore:
y = 0.05·110 = 5.5

Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.