Write an equation from a situation

Front

What is the equation that represents the height of a balloon released from a 50-foot building that rises at a rate of 2 feet per second after x seconds?

Back

y = 2x + 50

Front

What equation can be used to represent the total cost of buying turkey at $3.45 per pound and a loaf of bread for $0.96?

Back

y = 3.45x + 0.96

Front

How do you write an equation for the temperature that starts at 45 degrees and increases by 3 degrees per hour?

Back

y = 3x + 45

Front

What is the equation for a water tank that starts with 100 gallons and drains at a rate of 2.3 gallons per hour?

Back

y = -2.3x + 100

Front

If the slope is 2 and the y-intercept is 8, what is the correct equation?

Back

y = 2x + 8

Front

Define slope in the context of a linear equation.

Back

Slope is the rate of change of y with respect to x, indicating how steep a line is.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you determine the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where m is the slope.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

Explain the difference between a positive and negative slope.

Back

A positive slope indicates that as x increases, y increases; a negative slope indicates that as x increases, y decreases.