Multiple representations 7.4A, 7.7A

Front

What is the equation to represent the amount Bob has in his savings account after x months if he starts with $150 and saves $40 per month?

Back

y = 40x + 150

Front

What does the rate of change represent in a real-world context?

Back

The rate of change indicates how much one quantity changes in relation to another quantity, such as words written per minute.

Front

If a store sells new video games for $55 each and used video games for $12 each, what equation can be used to find the total price Jacob must pay for 3 new video games and x used video games?

Back

y = 12x + 165

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 of the dependent variable with respect to the independent variable.

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 do you find the total cost if you buy multiple items at different prices?

Back

You can use an equation that sums the cost of each item, such as y = price1 * quantity1 + price2 * quantity2.

Front

What is the purpose of a table in representing data?

Back

A table organizes data into rows and columns, making it easier to read and analyze.

Front

What is a graph in mathematics?

Back

A graph visually represents data or equations, showing the relationship between variables.

Front

How can you determine if a set of values satisfies a given equation?

Back

Substitute the values into the equation and check if both sides are equal.