14
RCMultiple Select

Relating Relationships Shown in Tables to Equations — Cumulative exam

Question 14 • FL-1205010-M/J Grade 6 Mathematics B -GF

Michael spends $24 each week on private swimming lessons. The two variables are:d = total amount Michael has spentw = number of weeksWeeks (w)Dollars (d)124248372496Which statements are correct about the table? Check all that apply.

Answer
A
The dependent variable causes a change in the independent variable.
B
The independent variable causes a change in the dependent variable.
C
The equation is d = 24w.
D
The equation is w = 24d.
E
As the number of weeks increases, the total amount Michael spends increases.
F
As the number of weeks increases, the total amount Michael spends decreases.

Explanation

The number of weeks, w, is the independent variable, and the total cost, d, depends on it. Michael spends $24 each week, so the total is d = 24w; for example, 3 weeks costs 24 × 3 = $72. As the number of weeks increases, the total amount spent increases, so B, C, and E are correct.

AI-written and checked against the verified answer.

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