A company that makes sweatshirts finds that the monthly demand is modeled by the equation qD = –8p + 500 where p is the price, in dollars, of a sweatshirt.  What is the correct interpretation of the slope of this demand function qD? A.For every $8 decrease in price, they sell 1 less sweatshirt. B.For every $1 increase in price, they sell 8 fewer sweatshirts. C.For every $1 decrease in price, they sell 8 fewer sweatshirts. D.For every $1 increase in price, they sell 8 more sweatshirts. E. For every $8 increase in price, they sell 1 less sweatshirt.

Q: The Summer store is dedicated to the sale of swimwear. He finds that for a price of $ 32.00 for each…

A: A linear model between 2 variables x and y can be represented by the expression . Here, m is the…

Q: In 2001, a 256 MB USB flash drive cost $ 151. In 2017, a pack of ten 256 MB USB flash drives can be…

A:

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per…

A:

Q: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

A: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

Q: c. Fill in the table showing the relationship between t-shirts sold, price, and revenue. X = number…

A:

Q: billy-sean o'hagan notices that the demand for the college newspaper was 2,000 copies each week when…

A: Given The demand for the college newspaper was 2,000 copies each week when the paper was given free…

Q: The cost C of purchasing chocolate-covered crickets varies directly with the weight W in pounds.…

A: Follow the procedure given below.

Q: 2. A toy company finds there is a linear relationship between p, the price they charge for a…

A:

Q: A salesperson is paid a base salary of $2000 a month plus a 4% commission on their sales of x…

A: A salesperson is paid a base salary of $2000 a month plus a 4% commission on their sales of x…

Q: 1. A band on tour typically sells promo t-shirts for $20 each, and sells 12,000 shirts at that…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total…

A: Total monthly compensation is C in dollars. Total monthly sales is S in dollars. Consider the part…

Q: Assume it costs Microsoft $4,300 to manufacture 5 Xbox 360s and $6,850 to manufacture 10. Obtain the…

A: Recall the following forms of a linear function: The point-slope form:y−y1​=m(x−x1​)Where (x1, y1)…

Q: A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each…

A: Given that, A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.