Functions to Linear Models

• Joe spent $9

• If Joe bought only Spaghetti O's, he could buy 9 cans.

• If Joe bought only Ramen noodles, he could buy 9 packages.

• Joe brought in 9 items

Choose the linear inequality and explanation for its shading according to the graph.

A dietician is creating a granola bar with at most 180 calories. The graph shows the relationship between the number of calories from proteins or carbohydrates and calories from fat. Which of the following statements is NOT true?

• A situation like this will always have a decreasing slope because the more of x that is used/bought/included, the less of y can be used/bought/included. In this case, the more calories of protein that are used, the less calories of fat can be used to stay within 180 calories.

• The graph is shaded below the line because the context represents an inequality due to the fact that the granola bar was to be at most 180 calories and there are many combinations that could result in 180 calories or less.

• The graph is shaded below the line because the slope of the line is negative so combinations must be less than the line.

• The graph is shaded below the line because the line represents the combinations that are 180 calories but the dietician would be okay with combinations that result in granola bars that are less than 180.

• Hot dogs cost $2.

• Peanuts cost $3.

• The vendor wants to sell more than $96 worth of snacks.

• The vendor wants to sell at least $96 worth of snacks.

This table shows the relationship between humerus

(arm bone) length and a woman’s height.

Predict the height of a woman whose humerus length

is 40 cm.

• 176 cm

• 178.75 cm

• 173.25 cm

• 181.5 cm

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked

A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Use the graph to write an equation in slope-intercept form to represent the amount spent, y, on x hours of music. 

• y = 75x + 100

• y = 100x

• y= 100x + 75

• y = 75x

Identify the slope and y-intercept of:
y = 1/2x - 1

• slope: 1/2   y-intercept:  -1 

• slope: 2/1   y-intercept:  -1

• slope: 3   y-intercept:  -3 

• slope: 2  y-intercept:  5 

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7

• y=-2x+7

• y=2-7x

• y=7x+2