8th Grade Math Category #2

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you represent the cost of buying x pounds of apples if the cost per pound is $1.70?

Back

The equation is y = 1.70x, where y is the total cost and x is the number of pounds.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

If a painter charges $15.50 per hour, how would you express the total cost for h hours of work?

Back

The equation is C = 15.50h, where C is the total cost and h is the number of hours.

Front

What is the formula to calculate the total cost of a gym membership with a one-time fee and monthly dues?

Back

The formula is c = 75 + 12.50m, where c is the total cost, 75 is the one-time fee, and m is the number of months.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Front

What is the average rate of change in a linear function?

Back

The average rate of change is the slope of the line, calculated as the change in y divided by the change in x.

Front

If the slope of a line is 16.50, what does this indicate?

Back

This indicates that for every unit increase in x, y increases by 16.50.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.