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You sell ice cream cones. The table shows your profit for selling different numbers of cones. Based on the x- and y-values in the table, which equation shows how the number of cones sold and profit (in dollars) are related?
y = 8 + x
y = 2x – 8
y = x – 8
y = 2x
To determine the correct equation that relates the number of cones sold (x) to the profit (y), we need to analyze how profit changes with the number of cones sold.
Typically, profit can be expressed in a linear form, where the profit increases with each cone sold. If the table shows a consistent increase in profit as the number of cones sold increases, we can identify the coefficients in a potential equation.
Since we don’t have the specific data from the table, I’ll guide you through the logical approach:
1. Identify a pattern in profit increase related to the number of cones sold.
2. Look for the slope (rate of profit per cone) and y-intercept (profit when no cones are sold).
3. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
From the options given:
– If profit increases consistently, “y = 2x” (meaning $2 profit per cone) might be a candidate if that reflects the data.
– If there’s some fixed cost or starting profit, the y-intercept would change accordingly.
Based on common scenarios, “y = 2x” may likely express a profit of $2 for each cone sold without additional fixed costs.
Check your table to confirm this pattern, and let me know if you need further help analyzing it!