Question 1 A)
To determine the linear equation that represents the total amount of money Maria makes from selling cookies, we need to consider both her initial expense and the revenue from selling the cookies.
Maria has spent $20 on baking supplies, which is a cost. The revenue she earns from selling x batches of cookies at $15 each is represented by \( 15x \).
The total amount of money she makes (y) will be the revenue minus the initial cost:
\[ y = 15x - 20 \]
Correct Response: y = 15x - 20
Question 2 A)
To find out how much money Maria will make if she sells 10 batches of cookies, we can substitute \( x = 10 \) into the equation we derived in Question 1:
\[ y = 15(10) - 20 \] \[ y = 150 - 20 \] \[ y = 130 \]
Correct Response: $130
Question 3 A)
To find the value the contractor used for the weight of a person, we can set up an equation based on the total weight the porch needs to hold. The porch needs to hold 20 people and furniture that weighs 250 lb, and the total weight the porch must support is 3750 lb.
Let \( w \) be the weight of each person. The total weight carried by the people is \( 20w \).
We can set up the equation:
\[ 20w + 250 = 3750 \]
Now, we solve for \( w \):
\[ 20w = 3750 - 250 \] \[ 20w = 3500 \] \[ w = \frac{3500}{20} \] \[ w = 175 \]
Correct Response: 175