At a local grocery store apples cost $0.50 each and bananas cost $0.30 each. the expression 0.50x+0.30y can be used to find the cost of buying some apples and bananas. 1. interpret what the x and y represents in context. what does each term represent? what do each of the coefficients represent?

The x and y represents the number of bought apples and bananas respectively. The coefficients represents the cost of each apple and banana.

Explanation:

It is given that at a local grocery store apples cost $0.50 each and bananas cost $0.30 each. the expression 0.50x+0.30y can be used to find the cost of buying some apples and bananas.

Let the number of apple purchased be x and number of banana purchased be y.

The cost of each apple is $0.50. So, the cost of purchased apple is 0.50x.

The cost of each apple is $0.30. So, the cost of purchased apple is 0.30y.

The total cost is the sum of cost of apples and cost of bananas.

It is same as the given equation.

So, the x and y represents the number of purchased apples and bananas respectively. The coefficients represents the cost of each apple and banana.

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.