in the diagram below, XY and YZ are tangent to O. Which equation could be solved to find x, the measure of XZ.?

given : an oil blend costing = $1.50 per ounce.

glycerin costing = $1.00 per ounce.

in the given options g variable is taken.

so, let us assume number of ounces of glycerin = g ounces.

we are given, "four ounces of lotion costs $5.50."

therefore, total quantity of the lotion is given = 4 ounces.

expression for number of ounces of oil blend = total ounces of the lotion 4 - number of ounces of glycerin = (4 - g) ounces.

cost per for (4 - g) ounces of oil blend = number of ounces of oil blend * oil blend costing per ounce.

therefore, cost per for (4 - g) ounces of oil blend = (4-g)*1.50

therefore, (4-g)1.50 could replace x on the table.

therefore, first option   (4 – g) 1.5 is correct option.