Real World Linear Functions

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable domain for this function?

• {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

• {105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

• {x | 15 ≤ x ≤ 25}

• {x | 105 ≤ x ≤ 168}

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?

• {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

• {105, 112, 119, 126, 133, 140, 147, 154, 161, 168}

• {y | 15 ≤ y ≤ 25}

• {y | 105 ≤ y ≤ 168}

A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?

• {0, 1, 2}

• {0, 1, 2, 3, 4}

• {x | 0 ≤ x ≤ 2}

• {x | 0 ≤ x ≤ 4}

Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework. Graph the equation in desmos and then answer the following question: what could the y-intercept of the line mean in real world context.

• For every homework assignment, it takes 5 more minutes to complete.

• For every homework assignment, it takes 2 more minutes to complete.

• It initially takes 5 minutes to get homework out and start working.

• It initially takes 2 minutes to get homework out and start working.

The table shows the relationship between how long you work and how much you make. How many hours would you need to work to make $27?

• 0

• 9

• 3

• 27

Dorothy loves to make cakes.  The following table shows how the number of eggs that she has left changes as she makes cakes.
What is the meaning of the y-intercept?

• She uses 5 eggs for every 2 cakes.

• She started with 47 eggs.

• She uses 47 eggs for every 0 cakes.

• She started with 5 eggs.

What is the meaning of the y-intercept?

• The weight in the bucket increases by 1 pound per pound of sand.

• Before sand is put in the bucket, it weighs 1 pound.

• The starting weight of the sand is 1 pound.

• The weight in the bucket decreases by 1 pound per pound of sand.

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

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts