Home
/
Math
/
mamadou had 4 inches of snow on his lawn . it then began to snow at a rate of 3 inches per hour assume no snow melted answer the

Question

Mamadou had 4 inches of snow on his lawn . It then began to snow at a rate of 3 inches per hour Assume no snow melted Answer the questions below regarding the relationship between the number of hours since snow began falling and the total amount of snow on Mamadou's lawn. Answer Attemptiout of 2 The independent variable, x represents the square , and the dependent variable is the square ,because the depends on the square A function relating these variables is K(x)= So K(4)= meaning after 4

Answer

4.5 (280 Votes)
Verificación de expertos
Alice Veteran · Tutor for 12 years

Answer

### The independent variable, , represents the number of hours since snow began falling, and the dependent variable is the total amount of snow, because the total amount of snow depends on the number of hours. A function relating these variables is \( K(x) = 3x + 4 \). So \( K(4) = 16 \) inches, meaning after 4 hours.

Explanation

## Step 1: Identify the Independent and Dependent Variables### In this context, the independent variable is the number of hours since snow began falling. The dependent variable is the total amount of snow on Mamadou's lawn, as the amount of snow depends on the number of hours it has been snowing.## Step 2: Formulate the Function### Since it initially snowed 4 inches and then at a rate of 3 inches per hour, the total amount of snow \( K(x) \) after hours can be given by the function \( K(x) = 3x + 4 \).## Step 3: Calculate \( K(4) \)### Substituting into the function: \( K(4) = 3(4) + 4 = 12 + 4 = 16 \).