Questionefunction $m=30-3 c$ represents the amount ( $m$ , in dollars) of money you have left affer you bought ( $c$ ) pieces of candy. lect all that apply. The domain is discrete. The independent valiatble is $m$ , and the dependent variable is $c$ . The independent variable is $c$ , and dependent variable is $m$ . The stope is -3. The domain is continuous. The stope is 30.

Studdy Solution

STEP 1

1. The function $m = 30 - 3c$ represents a linear relationship between the number of candies $c$ and the money left $m$ .
2. We need to determine the correct statements about the function.

STEP 2

1. Identify the independent and dependent variables.
2. Determine the slope of the function.
3. Determine if the domain is discrete or continuous.

STEP 3

Identify the independent and dependent variables.
In the function $m = 30 - 3c$ , the variable $c$ (pieces of candy) is the independent variable because it is the input or the variable you control. The variable $m$ (money left) is the dependent variable because it depends on the number of candies bought.

STEP 4

Determine the slope of the function.
The function $m = 30 - 3c$ is in the form $y = mx + b$ , where $m$ is the slope. Here, the coefficient of $c$ is $-3$ , which means the slope is $-3$ .

STEP 5

Determine if the domain is discrete or continuous.
The variable $c$ represents the number of pieces of candy, which is typically a whole number (you can't buy a fraction of a piece of candy). Therefore, the domain is discrete, consisting of non-negative integers.
Based on the analysis, the correct statements are: - The independent variable is $c$ , and the dependent variable is $m$ . - The slope is $-3$ . - The domain is discrete.

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