Sofia and Alexandra work at a furniture store. Sofia is paid $270 per week plus 5.5% of her total sales in dollars, xx, which can be represented by g(x)=270+0.055xg(x)=270+0.055x. Alexandra is paid $204 per week plus 7.5% of her total sales in dollars, xx, which can be represented by f(x)=204+0.075xf(x)=204+0.075x. Determine the value of xx, in dollars, that will make their weekly pay the same.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2