A client would like this logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 inches tall. Which of the following dimensions will keep the logo in proportion and large enough to meet the clients requirements?

87.5 by 70 inches

Step-by-step explanation:

No options were given. So, I will calculate the minimum width

Given

Height = 70 in ---- of the printed logo

Required

Determine the dimension that keeps the requirement

Let x be the width of the printed logo.

So, the ratio can be represented as:

Equate both ratios

As fraction

Multiply through by 70

So, one of the dimension that meets the requirement is a width of 87.5 inches

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.