Question

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 1

The equation that the question asked for would be:
1.2x + 15 = 2.4x

Now, let's solve the second part of the problem.
1.2x + 15 = 2.4x
1.2x - 2.4x + 15 = 2.4x - 2.4x
-1.2x + 15 = 0
-1.2x + 15 - 15 = 0 - 15
-1.2x = -15
-1.2x/-1.2 = -15/-1.2
x = 12.5
So, he needs to create 12 and a half pages for his time spent using the new program to be the same as his current time.

So, any value of x higher than 12.5 would save him time using the new software.

Answer 2

Answer:

15 + 1.2x = 2.4x

13 pages

Step-by-step explanation:

Let x be the number of pages he needs to create,

∵ In the original programm the time taken by him in each page = 2.4 hours,

So, the total original time = 2.4x

Now, In the new program,

The learning time = 15 hours,

While the time per each page = $\frac{2.4}{2}$ = 1.2 hours,

Thus, the total new time to create x pages = 15 + 1.2x

According to the question,

15 + 1.2x = 2.4x

Which is the required equation,

Subtract 15 on both sides,

1.2x = 2.4x - 15

Subtract both sides by 2.4x

-1.2x = - 15

x = 12.5 ≈ 13

Hence, he needs to create 13 pages.