MSA MR 2

1) What I know about a linear relationship represented by the equation of the form y= mx+b is that y is the dependent variable. It depends on the independent variable. In this equation, the independent variable is x. m is the coefficient of x. Coefficient is the number that multiplies a variable in an equation. m is usually the rate. In Emile and Henri's problem, Emile's rate was 2.5 miles per second. b is the y intercept. y intercept is the point where the line crosses the y axis on a graph. For example, in Emile and Henri's problem, Henri got a 45 meter head start. When the x axis was at 0 seconds, Henri was already at 45 meters.

2a) If you have a table or a graph, that means you have an equation. Therefore, when trying to find an x or y value that corresponds to the equation in the problem, a graph or table can help you locate the point that you want to find in the linear function. This point will represent an x or y value.

2b) I have used an equation to solve a problem by plugging in numbers for the variables. For example, if I wanted to buy 15 shirts and the cost per shirt was $8, the equation for this would be:
C= 8n
C= cost
n= number of shirts.
To see what the cost would be for 15 shirts, I would plug in 15 instead of n. Then I would solve the equation. 15*8=120. The cost for 15 shirts would be $120.