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Sophie opened a picture of a tree on her cell phone screen and zoomed in 2.5 times. The new scale of the picture became 1:168. What would be the scale if it was zoomed in 4 times?

Please help. I can't solve :

Respuesta :

Answer:

1:105

Step-by-step explanation:

The picture is 1 and the tree is 168, making the ratio 1 : 168

Then, you divide 1 by the zoom, which is 2.5, and get 0.4

Now, you multiply 0.4 by 4, which is the new zoom.

The final ratio is 1.6 : 168

Now, you simplify by dividing both sides by 1.6, getting 1 : 105

Using proportions, it is found that if it was zoomed 4 times, the scale would be of 1:105.

  • Scale problems are solved by proportions, using a rule of three.
  • Zooming in 2.5 times, the denominator is 168. Zooming in 4 times, the denominator would be of x.
  • Zooming in increases the scale, thus the denominator would decrease, which means that we have an inverse rule of three, in which line multiplication if applied.

2.5 times - 168

4 times - x

Applying line multiplication:

[tex]4x = 2.5(168)[/tex]

[tex]x = \frac{2.5(168)}{4}[/tex]

[tex]x = 105[/tex]

The scale would be of 1:105.

A similar problem is given at https://brainly.com/question/24735531

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