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Emma was given 5 seashells. Each week she collected 3 more. Let w be the number of weeks Emma collects seashells and s be the number of seashells she has total. Which variable is independent, and which is dependent? Write an equation to model the relationship, and make a table to show how many seashells she has from week 4 to week 10.

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Answer:

s=5+3w independent variable is 5+3w. Dependent variable is s, since the total depends on the amount of weeks plus the 5 seashells from the start. s=5+4(3)=17 s=5+5(3)=20 s=5+6(3)=23 s=5+7(3)=26 s=5+8(3)=29 s=5+9(3)=32 s=5+10(3)=35

Step-by-step explanation:

You can use the b of independent and dependent variables to differentiate between them and can use the specified symbols to make equation out of the description given.

The equation for the number of seashells collected in x weeks is

  • The equation for the number of seashells collected in x weeks is [tex]y= 3x + 5[/tex]
  • The variable [tex]x[/tex] is independent variable.
  • The variable [tex]y[/tex] denoting number of seashells is dependent variable, depending on
  • The table for week 4 to week 10 is given below

[tex]\begin{array}{cc}x&y\\4&21\\5&30\\6&41\\7&54\\8&69\\9&86\\10&105\\\end{array}[/tex]

What are independent variables?

Independent variables are those who are not dependent on other variables for their evaluation.

What are dependent variables?

Those variables whose value is decided by the values of other variables. This shows that the variable in consideration is dependent on other variables for its values, thus called dependent variable.

Since the number of weeks is denoted by x and there are 3 seashells added per week, thus, in x weeks there will be added [tex]3 \times x = 3x[/tex] seashells.

(remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in  [tex]3 \times x = 3x[/tex])

Since Emma already has 5 seashells, thus, total seashells(lets denote by 'y') is given as

[tex]y= 3x + 5[/tex]

The table from week 4 to week 10 is given as

[tex]\begin{array}{cc}x&y\\4&21\\5&30\\6&41\\7&54\\8&69\\9&86\\10&105\\\end{array}[/tex]

Thus,

  • The equation for the number of seashells collected in x weeks is [tex]y= 3x + 5[/tex]
  • The variable [tex]x[/tex] is independent variable.
  • The variable [tex]y[/tex] denoting number of seashells is dependent variable, depending on
  • The table for week 4 to week 10 is given below

[tex]\begin{array}{cc}x&y\\4&21\\5&30\\6&41\\7&54\\8&69\\9&86\\10&105\\\end{array}[/tex]


Learn more about independent and dependent variables here:

https://brainly.com/question/19622665

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