Which of the following situations most likely results in a negative correlation when the data is displayed on a scatter plot?

a) the # of hours vs. the # of miles a person travels
b) the age of car vs. the value of the car
c) the # of years spent in school vs. salary earned
d) the age of a house vs. the amount of people who have lived in a house

Negative correlation is determined by: Option: b

b) the age of car vs. the value of the car

Step-by-step explanation:

We know that a negative correlation is one in which the increase in one variable leads to the decrease ion the other variable i.e. the two variables have a inverse relation.

a)

the # of hours vs. the # of miles a person travels

This is an example of a positive correlation because with the increasing number of hours while travelling the more distance a person will travel.

Hence, option (a) is incorrect.

b)

the age of car vs. the value of the car

This is an example of a negative correlation.

Because as the commodity gets older it's price also get reduced.

c) the # of years spent in school vs. salary earned  

There is no correlation between the two variables as the time spent in school is nowhere related to salary.

Hence, option (c) is incorrect.

d) the age of a house vs. the amount of people who have lived in a house.

Here with the increase of one variable the other variable may increase or decrease it can't necessarily decrease.

Hence, option (d) is incorrect.

Hence, the correct option is:

b) the age of car vs. the value of the car

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

answer is 33

step-by-step explanation: