1. Samantha, Sam, and Bobby are trying to see who runs the fastest. Samantha says she can run 9 miles every hour. The table shows the relationship between total miles Sam ran and time. The following graph shows the relationship for Bobby. Who runs the fastest?
2. Store G, Store H, and Store Z each design T-shirts. The equation y = 16x models the revenue for Store G, where y is the total revenue and x is the total number of T-shirts that are bought. The relationship between revenue and T-shirts bought for Store H is shown in the table. The line which shows the relationship between the revenue and T-shirts bought for Store Z passes through the points (0, 0) and (2, 32).
a. Which store charges more per T-shirt?
b. Graph each of the relationships and explain how you know which store charges the most without calculations.
3. Writing A wholesale club sells eggs by the dozen.
a. Does the table show a proportional relationship between the number of dozens of eggs and the cost?
b. Which ratio would be more useful to someone going to the wholesale club, fraction cost , over dozen end fraction . or . fraction dozen , over cost end fraction . question mark Explain.
4. Writing The line models the cost of trail mix. It costs $3 per pound plus 50¢ for the storage container.
a. Write an equation in slope-intercept form for the line where x is the number of pounds and y is the total cost.
b. How much does it cost for 3 pounds of trail mix?
c. Describe another situation that uses the same equation.