using reasoning in a real - world scenario\nchristopher is a graphic designer who creates business websites…

using reasoning in a real - world scenario\nchristopher is a graphic designer who creates business websites. it takes him 2.4 hours to complete one website page. he finds out about a new software program that will cut his time in half for completing one page, but it will take him 15 hours to learn the new program.\nwhich equation can be used to find the number of website pages, x, that christopher needs to create so that his time spent using the new program will be the same as his current time?\nhow many website pages would christopher need to create in order to save time using the new software program?

using reasoning in a real - world scenario\nchristopher is a graphic designer who creates business websites. it takes him 2.4 hours to complete one website page. he finds out about a new software program that will cut his time in half for completing one page, but it will take him 15 hours to learn the new program.\nwhich equation can be used to find the number of website pages, x, that christopher needs to create so that his time spent using the new program will be the same as his current time?\nhow many website pages would christopher need to create in order to save time using the new software program?

Answer

Answer:

  1. Equation: $2.4x=1.2x + 15$
  2. Number of pages: $x = 15$

Explanation:

Step1: Analyze current - time

The time it takes Christopher to create $x$ pages currently is $2.4x$ hours since it takes 2.4 hours per page.

Step2: Analyze new - time

With the new software, the time per page is $2.4\div2 = 1.2$ hours, and there is a 15 - hour learning time. So the total time with the new software for $x$ pages is $1.2x+15$ hours.

Step3: Set up equation

Set the current - time equal to the new - time to find when the times are the same: $2.4x=1.2x + 15$.

Step4: Solve the equation

Subtract $1.2x$ from both sides: $2.4x-1.2x=1.2x + 15-1.2x$ $1.2x=15$ Then divide both sides by 1.2: $x=\frac{15}{1.2}=15$. So he needs to create 15 pages to have the same time spent, and to save time, he needs to create more than 15 pages.