Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese.

Clare is paid \$90 for 5 hours of work. At this rate, how many seconds does it take for her to earn 25 cents?

A car that travels 20 miles in \(\frac12\) hour at constant speed is traveling at the same speed as a car that travels 30 miles in \(\frac34\) hour at a constant speed. Explain or show why.

Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. Complete the diagram to show smaller and larger batches that would taste the same as Lin's favorite blend.

Double number line, 6 evenly spaced tick marks. Top line, cranberry juice, fluid ounces. Beginning at first tick mark, labels: 0, blank, blank, 9, blank, blank. Bottom line, apple juice, fluid ounces. Beginning at first tick mark, labeled 0, blank, blank, 21, blank, blank.

Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a representation that shows why they are equivalent ratios.

1. \(600:450\) and \(60:45\)
2. \(60:45\) and \(4:3\)
3. \(600:450\) and \(4:3\)