CA Equations Review PART 2

Front

What does the equation y = 40 + 3x represent in a real-world context?

Back

An airplane begins at 40 miles above the ground and ascends 3 miles each minute.

Front

What equation represents the situation where Elena cuts a 30-foot ribbon, removes 7 feet, and divides the rest into 9 equal lengths?

Back

7 + 9x = 30

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line, which indicates the rate of change.

Front

What type of situation is described by the equation y = 10(3^x)?

Back

Exponential situation, as the amount triples each time.

Front

What does the equation y = -10x - 55 represent in a real-world context?

Back

A submarine is at 55 feet below sea level and descends 10 feet each minute.

Front

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

Back

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

Front

How do you determine if a situation is linear or exponential?

Back

Linear situations have a constant rate of change, while exponential situations have a rate of change that increases or decreases multiplicatively.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If a bank account starts with $100 and earns $5 each month, what is the equation representing the balance after x months?

Back

y = 5x + 100.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope indicates how steep the line is and the direction it goes (rise over run).