Equations in y=mx form

Learn about proportional relationships and master y=mx equations!

What are Proportional Relationships? Proportional relationshipsare relationships between two equal ratios. For example, for every dozen roses that Violet sells, she gets a $3 commission. This ratio can be represented as 12:3 or 12 means that if Violet sells 36 roses, her total commission would be $9. This ratio can be represented as 36:9 or 36 first ratio and the second ratio are equal. This pair of ratios is an example of a proportional relationship. If you make a table for all possibilities of Violet's commissions we would end up with: Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly $100 to buy each vote. Are Cam's costs proportional to the number of votes he receives? Proportional Not proportional Does the following table show a proportional relationship between the variables g and h? g 3 6 9 h 9 36 81 Proportional Not proportional At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, and he doesn't spend any of his savings. Is his savings account balance proportional to the number of weeks since the start of the year? Proportional Not proportional Andrea rents a bike for a day. The rental charges can be determined by the equation: R = $0.5d, where R is rental charges and d is number of days she rents the bike. How much is the bike rental for one day? $1.50 $0.50 $2.0 Considering Andrea's bike rental charges, which of the following graphs represents the scenario? There is a chair factory. The number of chairs completed can be determined by the equation C= 4w, where C is the number of chairs and w is the number of workers that are making chairs. Which of the following graphs represent the equation? How would you interpret the slope of C=4w? Matching proportions Match each equation with its situation y=4x y=0.5 x y=3x y=1.5x y=10x Get the goof Circle the mistake in the problem below Solve the equation Correctly solve the equation from the previous question. 4(3+2x)-14=6(2x+5). Circle your answer. You can solve on paper and upload a picture.