Question

identify independent and dependent variables in tables and graphs

(graph with x-axis labeled selling price ($) from 5 to 50, y-axis labeled amount from 5 to 20, with points plotted)

1. which of the variables is independent and which is dependent?

1. options:

• t is the independent variable, and f is the dependent variable.
• f is the independent variable, and t is the dependent variable.

1. complete the sentence.

1. the dependent variable is always ____ the independent variable.

options: 5 more than, 5 less than, 5 times, 1/5 of

Explanation:

For part (a), independent variables are typically on the x-axis (selling price, labeled t), and dependent variables are on the y-axis (amount, labeled f). For part (b), check the relationship: when t=10, f=5; 5 is 1/2 of 10? No, 1/2 of 10 is 5? Wait, wait—wait the graph: at t=10, f=5; t=15, f=10; t=20, f=15; t=25, f=20. So f = t - 5? No, 10-5=5, yes; 15-5=10, yes. So dependent variable f is 5 less than independent variable t.

Answer:

a) t is the independent variable, and f is the dependent variable.
b) 5 less than