Rate of Change and Intro to Slope

Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below. x y 1 3 2 ? He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?

7

At which store is the cost of apples the least?

A

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.

Alexa traveled at a faster rate because the slope of her line is 3/4 , which is greater than the slope of the line described by the data in Mia's table.

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

Because 5/3 is greater than 3/2 , the slope of the climbing equipment at the gym is greater.

Who dres it with a slope of 3?

Benito

Marisol attempted to determine the slope of a line based on the two points shown in the table below. x y -1 4 3 10 Step 1: (-1, 4) and (3, 10)Step 2: Step 3: Which statement best explains Marisol's error?

Marisol computed .y2-x2/y1-x1

Which statement best explains who earns the most money per item sold?

Marsha earns the most money per item sold because her line increases at a faster rate than Dreya's.

Michelle and Andrea are walking laps for charity. The amount of money, y, that each girl raises for a certain number of laps, x, is shown in the tables below. Michelle Andrea Which statement explains who will raise $100 with the fewest number of laps?

Michelle will, because the slope of the line described by the data in her table is the greatest.

What is the slope of the line on the graph below?

1/3

The ordered pairs in the table below represent a linear function. x y 2 3 5 9

2

The ordered pairs in the table below represent a linear function.xy6298What is the slope of the function?

2

Step 1: (-4, 0) and (2, 3)Step 2: Step 3: Step 4: The slope is 2.Which statement describes Jalen's error?

Jalen computed the ratio of change in x to change in y.

The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?

The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts.PublicWholesaleHow do the slopes of the lines created by each table compare?

The slope of the Wholesale table is of the slope of the 3/4 Public table.

Which list places the companies in order from the steepest slope to the least steep slope?

W, Z, U, Y