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erastovalidia
2 months ago
14

Christopher is a graphic designer who creates business websites. It takes him 2.4 hours to complete one website page. He finds o

ut 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?
Mathematics
2 answers:
babunello [11.8K]2 months ago
4 0

1.2x + 15 = 2.4x

Let's solve the equation:
Starting with 1.2x + 15 = 2.4x,
Subtract 2.4x from both sides: 1.2x - 2.4x + 15 = 0,
Simplify: -1.2x + 15 = 0,
Subtract 15: -1.2x = -15,
Divide both sides by -1.2: x = 12.5.
Thus, Christopher must produce 12.5 pages for his time using the new software to equal his current time.

Any number of pages greater than 12.5 will result in time savings with the new program.
Leona [12.6K]2 months ago
3 0

Answer:

15 + 1.2x = 2.4x

13 pages

Detailed explanation:

Let x denote the number of pages Christopher needs to create.

Since currently, completing one page takes 2.4 hours,

the total current time is 2.4x hours.

With the new software,

there is an initial learning time of 15 hours,

and each page takes 1.2 hours,

so the total time with the new program is 15 + 1.2x.

Setting the new time equal to the old time,

15 + 1.2x = 2.4x

This is the equation needed.

Subtracting 15 from both sides:

1.2x = 2.4x - 15

Subtracting 2.4x from both sides yields:

-1.2x = -15

Dividing both sides by -1.2:

x = 12.5, which approximates to 13.

Therefore, Christopher must create at least 13 pages.

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