Question

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $134, while 13000 shirts can be sold at a price of $98. Give a linear equation in the form p = m(n) + b that gives the price 'p' they can charge for 'n' shirts.

A. p = -0.0073n + 141
B. p = -0.0073n + 98
C. p = -0.0073n + 134
D. p = -0.0034n + 98

Answer 1

The linear equation that represents the relationship between the number of shirts, n, and the price, p, for the clothing business is p = -0.0073n + 141.

Step-by-step explanation:

The linear equation that represents the relationship between the number of shirts, n, and the price, p, for the clothing business is given by the equation p = -0.0073n + 141.

To find this equation, we can use the slope-intercept form of a linear equation, which is y = mx + b. m represents the slope of the line, and b represents the y-intercept of the line.

In this case, the slope, m, is -0.0073, and the y-intercept, b, is 141. Therefore, the linear equation is p = -0.0073n + 141.