The owner of a small cookie shop is examining the shop's revenue and costs to see how she can increase profits. Currently, the shop has expenses of $41.26 and $0.19 per cookie.
The shop's revenue and profit depend on the sales price of the cookies. The daily revenue is given in the graph below, where x is the sales price of the cookies and y is the expected revenue at that price.
The shop owner needs to determine the total daily cost of making x cookies. Which of the following linear equations represents the cost, C, in dollars?
C = 0.19x + 41.26 represents the total daily cost of making x cookies.
This equation correctly incorporates the variable cost per cookie, $0.19, multiplied by the number of cookies sold (x), plus the fixed expenses of $41.26, resulting in the total cost for the cookie shop.
This equation suggests a cost per cookie of $4.60, which is unreasonably high for a cookie shop and does not match the given cost. Additionally, the fixed cost of $995 is far too high compared to the provided fixed expenses of $41.26, making this option incorrect.
Here, the cost per cookie is inaccurately set at $0.046, which is significantly lower than the actual cost of $0.19. Furthermore, the fixed cost of $2 does not align with the stated fixed expenses of $41.26, leading to an incorrect representation of total costs.
This option indicates a cost per cookie of $1.20, which is also too high compared to the correct cost of $0.19. The fixed cost of $212.26 is excessive and does not reflect the accurate total fixed expenses, rendering this equation incorrect.
The total daily cost for the cookie shop is accurately described by the equation C = 0.19x + 41.26, where $0.19 reflects the variable cost per cookie and $41.26 represents the fixed costs. The other options fail to align with the provided cost structure, confirming that choice C is the only suitable representation of the shop's total costs.
Related Questions
View allLast weekend, 625 runners entered a 10,000-meter race. A 10,000- meter...
What is the equation, in standard form, of the line that passes throug...
A manufacturing plant makes dog toys in the shape of a sphere. The dia...
What is the area, in square inches, of a circle with diameter 2 inches...
To the nearest tenth, what is the value of (t^3 - 35t^2)/(-4t - 8) whe...
Related Quizzes
View allGED Mathematical Reasoning
Mathematical Reasoning GED
GED Reasoning Through Language Arts
GED Reasoning Through Language Arts Practice Test
GED Science Sample Test
GED Science Test Prep
Sample GED Social Studies Test
Social Studies GED Test
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations