You are making a poster to support your friend for homecoming. your original photo is 4 inches by 6 inches. you want the photo on the poster to be 3 feet by 412 feet. what is the scale factor of this dilation?

The scale factor of this dilation is .

Step-by-step explanation:

Given: You are making a poster to support your friend for homecoming. Your original photo is inches by inches. You want the photo on the poster to be feet by feet.

The dimensions of original photo are inches by inches.

And we want the photo on the poster to be of dimensions   feet by feet.            

Converting the dimensions of poster from feet to inches using the formula:

Now, comparing the sides of our original photo with corresponding sides of poster:

Here, the sides of poster are   times the sides of our original photo, Therefore, the scale factor of this dilation is .

Learn more about unit conversion here:

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9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

Now let us compare sides of our original photo with corresponding sides of poster.

Now let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

m a t h w a y. c o m

step-by-step explanation: