Drake wants to save $750 so that he can take a class on computer analysis for cars. the class is being held on various dates over the next several months. drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. unfortunately, drake had to take out a little money from his savings in the 3rd week. after 4 weeks, drake has $470. he knows that he must adjust his plan in order to meet his goal. drake came up with the following options: option a: stay with saving the original amount each week but take the class a week later than originally planned. option b: increase the amount of money he saves each week by $15 from his original plan. which of the following is a true statement? a. only option a will allow him to meet his goal. b. only option b will allow him to meet his goal. c. both options a and b will allow him to meet his goal. d. neither option a nor option b will allow him to meet his goal.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.