Elena and marcus jog after school each day. one day, elena and marcus jogged a total of 15 miles. elena jogged 1 mile more than marcus. use a graph to find the number of miles each person jogged.

Elena jogs 7 miles and Marcus jogs 8 miles

Step-by-step explanation:

Let x is the distance Elena jogs

Let y is the distance Marcus jogs

We have:

<=> x + y = 15

<=> x+1 = y

We have our equations setting up:

Please have a look at the photo, the intersecting point (7, 8) present for the distance of two people.

So Elena jogs 7 miles and Marcus jogs 8 miles

47 - 90 = 43

43 - 180 = x

x = 137

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.