Final answer:
A real-life situation applicable for the equation y = 5x + 2 could be a business scenario where total sales in dollars depend on the number of items sold, with a constant rate of $5 per item and an initial amount of $2.
Step-by-step explanation:
Describing a real-life situation appropriate for the equation y = 5x + 2 involves identifying a context where a dependent variable y changes at a constant rate of 5 units for every single unit increase in an independent variable x, with an initial value of 2 when x is zero.
A suitable example might be a scenario in a small business where y represents the total amount in dollars made from sales and x represents the number of items sold, assuming each item is sold for $5 and there's an initial starting amount or fixed cost of $2. In this instance, every time an item is sold, the total revenue increases by $5, and the equation accounts for the constant starting amount.
Another context could be a saving plan where y represents the total amount saved in dollars, and x represents the number of weeks. If a person saves $5 each week and starts with $2, the equation y = 5x + 2 would describe the growth of their savings over time. The slope, or the rate of change, is $5 per week, and the y-intercept is the initial saving of $2.