Maths-
General
Easy

Question

Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x , Jaime could bicycle on the 4th week to meet his goal?

  1. fraction numerator 240 plus 310 plus 320 over denominator 3 end fraction plus x greater or equal than 280
  2. 240 plus 310 plus 320 greater or equal than x left parenthesis 280 right parenthesis
  3. 240 over 4 plus 310 over 4 plus 320 over 4 plus x greater or equal than 280
  4. 240 plus 310 plus 320 plus x greater or equal than 4 left parenthesis 280 right parenthesis

hintHint:

Hint:
  • An inequation is a statement that an inequality holds between two values. 

The correct answer is: 240 plus 310 plus 320 plus x greater or equal than 4 left parenthesis 280 right parenthesis


    Explanation:
    • We have given Jaime the goal is to bicycle an average of at least 280  miles per week, He bicycled miles 240 in the first week, 310 miles in the second week, and  320 miles in the third week.
    • We have to find the inequality which represents the distance he has to travel on the fourth day to meet his goals.
    • We will first let the distance covered on 4 t h day be x and then find the average and then make the inequality.
    Step 1 of 1:
    As we have given Jaime goal is to bicycle at least 280 miles per week
    Now,
    let the distance covered on 4 t h day be x .
    So, The average distance of four days will be
    fraction numerator 240 plus 320 plus 310 plus x over denominator 4 end fraction
    Now, for completing the goal, this average must be greater than or equal to 280 .
    So,
    fraction numerator 240 plus 320 plus 310 plus x over denominator 4 end fraction greater or equal than 280
    On simplification,
    We will get,
    240 plus 320 plus 310 plus x greater or equal than 4 left parenthesis 280 right parenthesis
    So, Option (D) is correct.
    Final answer:
    Hence, The inequality that represents the distance covered on the fourth day, so that Jaime can
    complete his goals is 240 plus 320 plus 310 plus x greater or equal than 4 left parenthesis 280 right parenthesis
    So, Option (D) is correct.

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