Maths-
General
Easy

Question


The table above shows shipping charges for an online retailer that sells sporting goods. There is a linear relationship between the shipping charge and the weight of the merchandise. Which function can be used to determine the total shipping charge f(X), in dollars, for an order with a merchandise weight of  x pounds?

  1. f left parenthesis x right parenthesis equals 0.99 x
  2. f left parenthesis x right parenthesis equals 0.99 x plus 11.99
  3. f left parenthesis x right parenthesis equals 3.39 x
  4. f left parenthesis x right parenthesis equals 3.39 x plus 16.94

hintHint:

Hint:
  • A linear equation is a type of equation in which the degree of each variable in the equation is exactly equal to one.
  • The slope of the graph of the linear equation is always constant.

The correct answer is: f left parenthesis x right parenthesis equals 0.99 x plus 11.99


    Explanation:
    • We have given a table of shipping charges for an online retailer that sells sporting goods.
    • We have to find a function that determines the relation between shipping charges and merchandise weight.
    • Step 1 of 1:
      We have given a table
    • Since, it is given that there is a linear relationship between the shipping charge and the weight of the merchandise.
      So, we will find the equation just like we find the equation of linear equation.
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y minus 21.89 equals open parentheses fraction numerator 21.89 minus 16.94 over denominator 10 minus 5 end fraction close parentheses left parenthesis x minus 10 right parenthesis end cell row cell y minus 21.89 equals 0.99 left parenthesis x minus 10 right parenthesis end cell row cell y minus 21.89 equals 0.99 x minus 9.9 end cell row cell y equals 0.99 x plus 11.99 end cell end table
    Hence, option(b) is correct.

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