christopher is a graphic designer who creates business websites. it takes him 2.4 hours to complete one…

christopher 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. which 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? how many website pages would christopher need to create in order to save time using the new software program?

christopher 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. which 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? how many website pages would christopher need to create in order to save time using the new software program?

Answer

Explanation:

Step1: Calculate 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: Calculate new - time

With the new software, it takes 15 hours to learn the program and $2.4\div2 = 1.2$ hours per page. So the total time with the new software for $x$ pages is $15 + 1.2x$ hours.

Step3: Set up the equation

We want to find when the current time equals the new time. So the equation is $2.4x=15 + 1.2x$.

Step4: Solve the equation for $x$

Subtract $1.2x$ from both sides: $2.4x-1.2x=15 + 1.2x-1.2x$ $1.2x=15$ Then divide both sides by 1.2: $x=\frac{15}{1.2}=12.5$

Answer:

The equation is $2.4x = 15+1.2x$. He needs to create 13 pages (since we can't have a fraction of a page in a real - world context and when $x = 12$, the current time is less than the new time, but when $x = 13$, the new time is less) to save time using the new software program.