Question

to calculate the charge for a load of wood, including delivery, the how much wood would a woodchuck chuck company uses the equation c = 0.76w + 85, where c is the total charge and w is the number of pieces of wood. what is the delivery fee? ______ what is the cost per piece of wood? ____ how much does the company charge for 293 pieces of wood? ______

Explanation:

Step1: Identify delivery - fee

The equation for total charge is $C = 0.76w+85$. In a linear - equation of the form $y = mx + b$, the constant term $b$ represents the fixed cost. Here, the delivery fee is the fixed cost. So the delivery fee is 85.

Step2: Identify cost per piece

In the linear equation $C = 0.76w + 85$, the coefficient of $w$ represents the cost per unit of $w$. Since $w$ is the number of pieces of wood, the cost per piece of wood is 0.76.

Step3: Calculate charge for 293 pieces

Substitute $w = 293$ into the equation $C=0.76w + 85$.
$C=0.76\times293+85$.
First, calculate $0.76\times293 = 0.76\times(300 - 7)=0.76\times300-0.76\times7=228 - 5.32 = 222.68$.
Then, $C=222.68 + 85=307.68$.

Answer:

Delivery fee: 85
Cost per piece of wood: 0.76
Charge for 293 pieces of wood: 307.68