Question

answer the questions below.
(a) the equation ( u = 2p - 3 ) determines the value of the output ( u ) as a function of the input ( p ). which is the dependent variable?
( \bigcirc ) ( u )
( \bigcirc ) ( p )
(b) a graph in an atlas shows how a city’s average temperature varies in relation to its distance from the equator. which is the dependent variable in the relationship?
( \bigcirc ) average temperature
( \bigcirc ) distance from equator
(c) amanda has made a table showing how the number of hours she spent studying for her science tests influenced her scores on them. what is the independent variable in this relationship?
( \bigcirc ) score on science test
( \bigcirc ) number of hours studied

Explanation:

(a) A dependent variable is determined by the input (independent) variable. Here, $u$ is calculated using $p$, so $u$ depends on $p$.
(b) The dependent variable is the one that changes based on the other. Average temperature changes based on distance from the equator, so it is dependent.
(c) An independent variable is the one that is controlled or changed to affect the other. The number of hours studied is controlled, and it affects the test score, so it is independent.

Answer:

(a) $u$
(b) average temperature
(c) number of hours studied