8th grade Ch 4 L1

The table shows the total number of text messages that Brad sent over 4 days. Number of Days, d: 1, 2, 3, 4 Total Messages, m: 50, 100, 150, 200 (a) Write an equation to find the total number of messages sent in any number of days. Describe the relationship in words.

• m = 50d. The total number of messages is 50 times the number of days.

• m = d + 50. The total number of messages is 50 more than the number of days.

• m = 200/d. The total number of messages is 200 divided by the number of days.

• m = 50 + d. The total number of messages is 50 plus the number of days.

Use the equation to find how many text messages Brad would send in 30 days.

• m = 50 × 30 = 1500 messages

• m = 30 × 30 = 900 messages

• m = 50 × 20 = 1000 messages

• m = 50 × 10 = 500 messages

Write an equation to find the total amount of money c budgeted in any number of months m. Use the equation to determine how much money the Rockwell family should budget for 12 months.

• c = 625m. For 12 months: c = 625 × 12 = $7,500.

• c = 12m. For 12 months: c = 12 × 625 = $7,500.

• c = 625 + m. For 12 months: c = 625 + 12 = $637.

• c = 625m. For 12 months: c = 12 ÷ 625 = $51.67.

A store receives an average of 7 new movies per week. (a) Write an equation to find the number of new movies m in any number of weeks w.

• m = 7w

• m = w + 7

• m = 7 + w

• m = w/7

A store receives an average of 7 new movies per week. Make a table to find the number of new movies received in 4, 5, 6, or 7 weeks. Then graph the ordered pairs.

• 4 weeks: 28 movies, 5 weeks: 35 movies, 6 weeks: 42 movies, 7 weeks: 49 movies. Ordered pairs: (4,28), (5,35), (6,42), (7,49).

• 4 weeks: 21 movies, 5 weeks: 28 movies, 6 weeks: 35 movies, 7 weeks: 42 movies. Ordered pairs: (4,21), (5,28), (6,35), (7,42).

• 4 weeks: 14 movies, 5 weeks: 21 movies, 6 weeks: 28 movies, 7 weeks: 35 movies. Ordered pairs: (4,14), (5,21), (6,28), (7,35).

• 4 weeks: 35 movies, 5 weeks: 42 movies, 6 weeks: 49 movies, 7 weeks: 56 movies. Ordered pairs: (4,35), (5,42), (6,49), (7,56).

4. Building on the Essential Question: A graph can be used to write an equation by:

• Identifying the slope and y-intercept from the graph

• Counting the number of points on the graph

• Measuring the length of the axes

• Estimating the area under the curve

The number of baskets a company produces each day is shown in the table. Number of Days, d: 1, 2, 3, 4 Total Baskets, b: 45, 90, 135, 180 a. Write an equation to find the total number of baskets crafted in any number of days. Describe the relationship in words.

• Equation: b = 45d. Relationship: The company makes 45 baskets per day, so the total number of baskets is 45 times the number of days.

• Equation: b = d + 45. Relationship: The company adds 45 baskets to the total each day, regardless of previous days.

• Equation: b = 90d. Relationship: The company makes 90 baskets per day, so the total number of baskets is 90 times the number of days.

• Equation: b = 45 + d. Relationship: The company starts with 45 baskets and adds one basket per day.

The number of baskets a company produces each day is shown in the table. Number of Days, d: 1, 2, 3, 4 Total Baskets, b: 45, 90, 135, 180. Use the equation to determine how many baskets the company makes in one non-leap year.

• 16,425 baskets

• 12,345 baskets

• 18,250 baskets

• 20,000 baskets

A type of dragonfly is the fastest insect. The graph shows how far the dragonfly can travel. Write an equation to find how far the dragonfly can travel d in any number of seconds s. (Use the graph for reference.)

• d = 23s (since the dragonfly travels 23 ft per second, based on the graph points)

• d = s + 23 (since the dragonfly travels 23 ft per second, based on the graph points)

• d = 23 + s (since the dragonfly travels 23 ft per second, based on the graph points)

• d = 2s + 3 (since the dragonfly travels 23 ft per second, based on the graph points)

Use the equation to determine how far the dragonfly can travel in one minute.

• 1,380 ft

• 800 ft

• 2,500 ft

• 950 ft