Real World Example functions
smart phone sales since 1990: Linear, Exponential or Quadratic
Throwing a baseball in the air: Linear, Exponential or Quadratic
Population of a colony of feral cats: Linear, Exponential or Quadratic
Grade on a test compared to hours of studying: Linear, Exponential or Quadratic
half life of a pesticide: Linear, Exponential or Quadratic
Driving at a constant rate of speed: Linear, Exponential or Quadratic

Smart phone sales since 1990: exponential

Throwing a baseball in the air: quadratic

Population of a colony of feral cats: exponential

Grade on a test compared to hours of studying: linear

Half of a pesticide: exponential

Driving at a constant rate of speed: linear

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.