Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

Step-by-step explanation:

Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:

area border = 1*2 = 2 inches²

The area of the interior tiles is 3.5 larger than that, so we have:

area interior = 2*(area border) = 2*3.5 = 7 inches²

In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:

area interior = width*height = 2*height*height = 2*height²

7 = 2*height²

height² = 3.5

height = sqrt(3.5) = 1.871

width = 2*height = 2*1.871 = 3.74166

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

the answer is b.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.