Independent and Dependent Variables - Super Teacher …

[Pages:3]Name: _________________________________________________

Independent and Dependent Variables

Writing Equations and Creating Tables

Directions: Identify the dependent and independent variables for each scenario. Write an equation to represent the relationship between variables. Finally, complete a table showing the constant relationship.

1. Charlotte reads for 30 minutes each day. Let t represent the total number of minutes she reads, and d represent the number of days. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show Charlotte's reading for 1 week.

Dependent variable: _____________________________________________________ Independent variable: ___________________________________________________ Equation: ___________________________________

Number of Days d 1 2 3 4 5 6 7

Total Mins. Read

30d or t

30

2. Juan is shopping for school supplies. He bought a pencil case for $5.00, but now he needs pencils to go inside it. Each box of pencils is $3.00. Let t represent the total cost, and b represent each box of pencils. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost with 1 to 5 boxes of pencils.

Dependent variable: _____________________________________________________ Independent variable: ___________________________________________________ Equation: ___________________________________

Number of Boxes of Pencils

Total Cost

b

3b + 5 or t

Super Teacher Worksheets -

Independent and Dependent Variables

Writing Equations and Creating Tables

3. Monica goes for a 60 minute bike ride each day in the summer. Let d represent the number of days Monica rides her bike, and m represent the total number of minutes she spends riding her bike. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show how many minutes Monica would ride her bike over the course of 1 week. Dependent variable: _____________________________________________________ Independent variable: ___________________________________________________ Equation: ___________________________________

4. A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, and m represent the number of miles driven. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost for riding 3 to 10 miles. Dependent variable: _____________________________________________________ Independent variable: ___________________________________________________ Equation: ___________________________________

Super Teacher Worksheets -

ANSWER KEY

Independent and Dependent Variables

Writing Equations and Creating Tables

1. Dependent variable: _____t_o__t_a_l__m__i_n__u_t_e_s__r_e__a__d___(_t_)________ Independent variable: ___n_u__m__b__e__r_o__f_d__a__y_s__(_d___)_________ Equation: __t__=__3__0_d______________________________

2. Dependent variable: ______to__t_a__l _c__o__s_t_(_t__)___________________ number of

Independent variable: ___b__o_x__e__s_o__f_p__e__n_c__i_ls__(__b_)_________

Equation: __t__=___3_b___+__5__________________________

Number of Days d 1 2 3 4 5 6 7

Total Mins. Read

30d or t 30 60 90 120 150 180 210

Number of Boxes of Pencils

Total Cost

b

3b + 5 or t

1

8

2

11

3

14

4

17

5

20

3. Dependent variable: _____to__t_a_l__m__i_n__s_._r_i_d_i_n__g___b_i_k__e__(__m__)___ Independent variable: __n__u_m___b_e__r_o__f_d__a__y_s__(__d__)__________ Equation: __m___=___6_0__d____________________________

Number of Days d

1 2 3 4 5 6 7

Total Mins.

60d or m 60 120 180 240 300 360 420

4. Dependent variable: ______to__t_a__l _c__o__s_t_(_t__)___________________ Independent variable: ___n__u_m___b_e__r__o_f__m__i_le__s__(_m___)________ Equation: __t__=___1_.5__0_m____+__6______________________

Number of Miles

Total Cost

m

1.50m + 6 or t

3

10.50

4

12.00

5

13.50

6

15.00

7

16.50

8

18.00

9

19.50

10

21.00

KH

Super Teacher Worksheets -

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download