Think about how two quartier are related before you decde to use proportions reasoning to soived droolem can Use Proportional Reasoning Cannot Use Proportional Reasoning Student earns $$10\mathrm{.}75$ per hour doing vardwork How much will she earn in $3$ hours? When Evie is $2$ years old, Josh is $6$ years old. Josh is $4$ years older than Evie. Josh is $3$ times as old as Evie. In $2$ years When Evie is $4$ years old, Josh is $8$ years old Josh is still $4$ years older than Evie. Josh is $2$ times as old as Evie, losh's age in NOT a constant multiple of Evie's ags The student will earn $$3335$ If you multiply both quantities hy the same number. you get equivalent ratios Do You Understand? $1.8$ Essential Question How can proportional reasoning help solve a problem? Do You Know How? $4.$ A recipe calls for $15$ oz of flour for every $8$ floz of mIlk. a$.$ Is the relationship between ounces of flour and fluid ounces of milk proportional? EXDIBIn. $2.$ Choose Efficient Methods How can knowing how to represent proportional relationships in different ways be useful in solving problems? b$.$ If you use $15$ fl oz of milk, how much flour should you use? $5.$ A food packing company makes a popular fruit cocktail. To ensure a good mixture of fruit, there are $3$ cherry halves for every $8$ white grapes in a jar. An inspector notices that one jar has $12$ cherry halves and $20$ white grapes. What can be done to fix the error? $3.$ Communicate and Justify How many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning. $6.$ The height of One Tampa City Center is $537$ feet. Convert $537$ feet to meters by finding an equivalent rate. Round to the nearest tenth.