Trends and Equations: A 6th Grade Graphing Quest

A farmer plots the number of apples harvested each week on a graph. In week 1, he harvested 10 apples, and in week 2, he harvested 20 apples. If this trend continues, how many apples will he harvest in week 5? Create an equation to represent this trend.

• 30 apples

• 60 apples

• 50 apples

• 40 apples

A school is tracking the number of books read by students over four months. In month 1, 15 books were read, and in month 4, 45 books were read. What is the equation that represents the number of books read as a function of the month?

• y = 5x + 15

• y = 10x + 5

• y = 15x - 5

• y = 20x + 10

A pet store records the number of pets adopted each month. In January, 5 pets were adopted, and in March, 15 pets were adopted. If the trend continues, how many pets will be adopted in June? Write an equation to model this situation.

• 40

• 70

• 55

• 25

A local gym tracks the number of members over six months. In month 1, there were 30 members, and in month 6, there were 90 members. What is the equation that represents the growth of gym members?

• y = 5x + 30

• y = 12x + 18

• y = 10x + 20

• y = 15x + 5

A bakery sells cupcakes and tracks sales over four weeks. In week 1, they sold 12 cupcakes, and in week 4, they sold 36 cupcakes. If this trend continues, how many cupcakes will they sell in week 6? Create an equation to represent this trend.

• 60

• 24

• 48

• 52

A city measures the temperature at noon each day for a week. On day 1, the temperature was 60°F, and on day 7, it was 72°F. What equation can be created to show the temperature trend over the week?

• T(d) = 60 + 3(d - 1)

• T(d) = 60 + 2(d - 1)

• T(d) = 60 + (d - 1)

• T(d) = 72 - 2(d - 7)

A toy store records the number of toys sold each day. On day 1, 8 toys were sold, and on day 5, 32 toys were sold. If this trend continues, how many toys will be sold on day 10? Write an equation to represent this trend.

• 48

• 54

• 62

• 70

A garden center tracks the number of flowers sold each month. In month 1, they sold 20 flowers, and in month 5, they sold 80 flowers. What equation can be created to represent the sales trend?

• y = 20x + 10

• y = 15x + 5

• y = 10x + 10

• y = 5x + 15

A movie theater records ticket sales over five weeks. In week 1, 50 tickets were sold, and in week 5, 150 tickets were sold. If this trend continues, how many tickets will be sold in week 8? Create an equation to model this situation.

• 225

• 250

• 200

• 175

A restaurant tracks the number of customers each day. On day 1, there were 25 customers, and on day 7, there were 75 customers. What equation can be created to show the trend in customer growth?

• y = 25 + 10(x - 1)

• y = 25 + 8.33(x - 1)

• y = 75 - 7.14(x - 7)

• y = 50 + 5(x - 4)