Final answer:
To write a linear equation for the price of XYZ Corporation stock w weeks from now, we need the rate of change and the initial stock price. The rate of change is provided as $5 per week, so the slope is 5, but the initial stock price (y-intercept) is not provided, making it impossible to choose from the provided options without additional information.
Step-by-step explanation:
The question asks to write a linear equation to find the price, p, of a share of XYZ Corporation stock, w weeks from now. A linear equation is generally in the form y = mx + b, where m is the slope and b is the y-intercept. Given the information provided, we have established that the slope (rate of change) is $5 per week from the statement 'stock price for a particular company will grow at a rate of $5 per week.' Therefore, our slope (m) is 5.
Additionally, we do not have a specific y-intercept given for the XYZ Corporation stock. However, we can assume that a y-intercept would be needed to complete the equation. Without a specific value for the y-intercept, we cannot determine the exact equation from the given options. If we had a starting price, we could identify the initial value (b) and create an accurate equation. In the absence of this information, one can only infer that the structure of the equation should be p = 5w + b, where b would represent the initial price of the stock when w = 0.