Solve each problem. It costs a flat fee of 20 plus 5 per...

Solve each problem. It costs a flat fee of $\$ 20$ plus $\$ 5$ per day to rent a pressure washer. Therefore, the cost to rent the pressure washer for $x$ days is given by $$ y=5 x+20 $$ where $y$ is in dollars. Express each of the following as an ordered pair. (a) When the washer is rented for 5 days, the cost is $\$ 45 .$ (b) I paid $\$ 50$ when I returned the washer, so I must have rented it for 6 days.

Solve each problem.
It costs a flat fee of $\$ 20$ plus $\$ 5$ per day to rent a pressure washer. Therefore, the cost to rent the pressure washer for $x$ days is given by
$$
y=5 x+20
$$
where $y$ is in dollars. Express each of the following as an ordered pair.
(a) When the washer is rented for 5 days, the cost is $\$ 45 .$
(b) I paid $\$ 50$ when I returned the washer, so I must have rented it for 6 days.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Function

A linear function is a mathematical relation that represents a constant rate of change between two variables. It is often written in the form y = mx + b, where m represents the slope (rate of change) and b is the y-intercept (the value of y when the independent variable x is zero). This form is used to model real-world scenarios with consistent increases or decreases.

Slope-Intercept Form

The slope-intercept form of a linear equation, y = mx + b, clearly illustrates the relationship between the independent and dependent variables. The slope (m) communicates how much the dependent variable changes for each unit increase in the independent variable, while the y-intercept (b) represents the starting value when the independent variable is zero. This format simplifies understanding and graphing linear relationships.

Ordered Pair Representation

Ordered pairs are used in coordinate geometry to represent locations on a two-dimensional plane, where the first number is the coordinate on the x-axis (independent variable) and the second number is the coordinate on the y-axis (dependent variable). In applied problems, expressing values as an ordered pair helps visualize and interpret the relationship between different quantities.

Transcript

Please give Ace some feedback