MSA MR 2

1. I know that in a linear relationship represented by an equation of the form y=mx+b is that m represents the rate, x represents the independent variable (input), b represents the y intercept (the number that you start of with), and y represents the dependent variable (output). For example, m could be the amount of meters traveled in one second which would be the rate, x could be the amount of hours you multiply by the amount of meters traveled in a second, b could be that maybe you were racing somebody and you had a head start of 30 meters which would make the 30 meters the y intercept, and y would be the the final answer after you multiply the the rate by the number of hours and add 30 to it.

2.
a. A graph for a linear relationship can be used to solve a problem by seeing the rate it goes up by. You can see this rate by the data points on the graph. For example, you wanted to know how many meters a person walks in 10 seconds and they have a walking rate of 2 meters per second. So you go to 10 seconds on the x axis because its the independent variable, and you multiply it by 2 and you figure out that since for all of the other data points that you multiply the number of seconds by 2 to get the meters per second which makes it 20 meters in 10 seconds. A table for a linear relationship can be used to solve a problem by seeing the rate it goes by on the table in numbers. For example, you walk 2 meters per second and you want to know how many meters you can go in 5 seconds. So you multiply 2 meters by 5 and you get 10 meters in 5 seconds.

b. I have used an equation to solve a problem by multiplying the independent variable by the rate to get the dependent variable. If you walk 2 meters per second and you want to know how many meters you van go in 6 seconds and your equation when distance in meters is d and time in seconds is t is d=2t, you multiply 2 by 6 and you get 12 meters in 6 seconds.