Multiple Representations

Front

What does the equation y = 13x represent in a real-world context?

Back

It represents a situation where Vanessa buys x number of shirts for $13 each.

Front

How many legs does a spider have according to the equation y = 8x?

Back

Every spider has 8 legs, where x represents the number of spiders.

Front

If a student carries a backpack weighing 10 pounds and an instrument weighing x pounds, what is the equation for the total weight?

Back

The equation is y = 10 + x, where y is the total weight.

Front

What is the relationship between the cost of a corsage and the number of flowers in it represented by the equation C = 4f?

Back

C represents the cost of the corsage, and f represents the number of flowers, with each flower costing $4.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change or how much y changes for a unit change in x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation.

Front

How can you determine if a relationship is linear from a table of values?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the relationship is linear.

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient indicates the rate at which y changes with respect to x.

Front

How can you represent a real-world situation using a linear equation?

Back

Identify the variables involved, determine the relationship between them, and express it in the form of a linear equation.