example 1\ncreate four equivalent ratios (2 by scaling up and 2 by scaling down) using the ratio 30 to…

example 1\ncreate four equivalent ratios (2 by scaling up and 2 by scaling down) using the ratio 30 to 80.\nwrite a ratio to describe the relationship shown in the table.\n| hours | number of pizzas sold |\n| ---- | ---- |\n| 2 | 16 |\n| 5 | 40 |\n| 6 | 48 |\n| 10 | 80 |

example 1\ncreate four equivalent ratios (2 by scaling up and 2 by scaling down) using the ratio 30 to 80.\nwrite a ratio to describe the relationship shown in the table.\n| hours | number of pizzas sold |\n| ---- | ---- |\n| 2 | 16 |\n| 5 | 40 |\n| 6 | 48 |\n| 10 | 80 |

Answer

Explanation:

Step1: Simplify the ratio 30 to 80

Divide both 30 and 80 by 10. The simplified ratio is $\frac{30\div10}{80\div10}=\frac{3}{8}$.

Step2: Scale up to get equivalent ratios

Multiply both 3 and 8 by 2: $\frac{3\times2}{8\times2}=\frac{6}{16}$; multiply both 3 and 8 by 3: $\frac{3\times3}{8\times3}=\frac{9}{24}$.

Step3: Scale down to get equivalent ratios

Divide both 30 and 80 by 2: $\frac{30\div2}{80\div2}=\frac{15}{40}$; divide both 30 and 80 by 5: $\frac{30\div5}{80\div5}=\frac{6}{16}$.

Step4: Find ratio from the table

For the table, take the first - row values. The ratio of hours to number of pizzas sold is $\frac{2}{16}=\frac{1}{8}$.

Answer:

Equivalent ratios for 30 to 80: $\frac{6}{16},\frac{9}{24},\frac{15}{40},\frac{6}{16}$; Ratio from table: $\frac{1}{8}$