8th Math 4.7 Slope Intercept Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope in the equation y = 40x + 150?

Back

The slope is 40, which indicates the rate of change of y with respect to x.

Front

What does the y-intercept represent in the equation y = 5.5x + 45?

Back

The y-intercept is 45, representing the initial amount before any hours are worked.

Front

If a line has a slope of -25, what does this indicate about the relationship between x and y?

Back

A slope of -25 indicates that for every increase of 1 in x, y decreases by 25.

Front

What does the equation C(n) = 110n + 900 represent in a real-world context?

Back

It represents the cost of airing a commercial, where $900 is the fixed cost and $110 is the cost per airing.

Front

In the equation y = 120 - 25x, what does the term -25x signify?

Back

The term -25x signifies that y decreases by 25 for every increase of 1 in x.

Front

How can you determine the total amount Bob has after x months using the equation y = 40x + 150?

Back

By substituting the value of x (number of months) into the equation, you can calculate the total amount.

Front

What is the significance of the flat fee in Bria's babysitting equation y = 5.5x + 45?

Back

The flat fee of $45 is the amount she earns regardless of the hours worked.

Front

How do you convert a word problem into a slope-intercept equation?

Back

Identify the initial value and the rate of change, then express it in the form y = mx + b.

Front

What does it mean if a slope is positive in a linear equation?

Back

A positive slope indicates that as x increases, y also increases.