Open Up Resources Unit 3 Review

Front

What does the slope represent in the equation y = 1.40t + 1.90?

Back

The slope (1.40) represents the cost for 1 topping on a hamburger.

Front

How do you model the total miles driven by Billy if he drives 50 miles each day starting with 300 miles on the odometer?

Back

The equation is y = 50x + 300, where x is the number of days.

Front

What equation represents Sabrina's savings if she starts with $45 and adds $35 each month?

Back

The equation is y = 35x + 45, where x is the number of months.

Front

How do you calculate the slope of a line given two points (2, 3) and (10, 4)?

Back

The slope is calculated as (y2 - y1) / (x2 - x1) = (4 - 3) / (10 - 2) = 1/8.

Front

What is the equation for the total cost of Wifi with a $50 installation fee and $35 monthly cost?

Back

The equation is y = 35x + 50, where x is the number of months.

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, representing the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 50x + 300?

Back

The y-intercept is 300, which represents the initial value when x = 0.

Front

How do you interpret the y-intercept in a real-world context?

Back

The y-intercept represents the starting value before any changes occur.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term (b) represents the value of y when x is zero, indicating the starting point.