Answer:
O Dependent: miles; Independent: gallons
Explanation:
An independent variable is one that can stand alone. Its values are not affected(gets changed) by a change in another variable.
Example: your age
value of your age will not change in another factor like how much you run, sleep, etc.
A dependent variable is one that cannot stand alone. Its values get affected(gets changed) by a change in another variable.
Example : weight: weight of a human is dependent on the food you eat and hence more you eat more is the chance of weight being increased.
hence, weight is the dependent variable.
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Given
A car uses a gallon of gas for every 45 miles driven.
thus, there are two variables, which as identified is
miles and gallons
given that
in 1 gallon, the car gets driven 45 miles
so if there are n gallons car will get driven 45*2 = 90 miles
in there are n gallons, the car will get driven 45*n= 45n miles
hence, miles is dependent on no of gallons hence
miles is the dependent variable.
thus, we see there is a relationship between miles and gallons as
miles = 45n, where n is the no of gallons
here the of gallons is an independent variable as its value can stand alone, its value does not change with miles.
hence
gallons are the independent variables.
thus,
correct choice is
O Dependent: miles; Independent: gallons