Question

consumers will buy 300 skateboards if the price of skateboards is $50. if the price is $100, consumers wont be able to buy as many skateboards. so, they would only buy 100 skateboards. what is the quantity of skateboards demanded at $50?
______ skateboards.

Explanation:

Step1: Find the slope of the demand line

We have two points: \((50, 300)\) and \((100, 100)\). The slope \(m\) is calculated as \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{100 - 300}{100 - 50}=\frac{- 200}{50}=- 4\).

Step2: Use point - slope form to find the equation

Using the point \((50,300)\) and the slope \(m = - 4\), the point - slope form is \(y - y_1=m(x - x_1)\). So \(y-300=-4(x - 50)\).
Simplify the equation: \(y-300=-4x + 200\), then \(y=-4x + 500\), where \(y\) is the quantity demanded and \(x\) is the price.

Step3: Substitute \(x = 50\) into the equation

Wait, we want to find the quantity demanded at \(x = 50\)? Wait, no, the first point is \((50,300)\). Wait, maybe there is a typo, if the price is \(\$50\), from the first condition, when the price is \(\$50\), the quantity demanded is 300. But if we assume that the question is about a different price, but according to the given data, when price \(x = 50\), quantity \(y = 300\).

Wait, maybe the question is a trick question or maybe I misread. Let's re - check: "Consumers will buy 300 skateboards if the price of skateboards is \$50". So if the price is \$50, the quantity demanded is 300.

Answer:

300