Question

Use the equation to answer the questions. Round both answers to nearest whole number. Y = 47.25 − 2.25 X If Y equals 8 , what is X ?
X = ____________.
If Y drops to 4 , what is X now?
X =__________-.

Answer 1

Answer:

If Y equals 8, X is equal to 17.

If Y drops to 4, X is equal to 19.

Step-by-step explanation:

We know that the equation is $Y = 47.25- 2.25X$ and we want to find X when Y = 8. To do this we solve the equation for X.

$47.25-2.25X=8\\47.25\cdot \:100-2.25X\cdot \:100=8\cdot \:100\\4725-225X=800\\4725-225X-4725=800-4725\\-225X=-3925\\\frac{-225X}{-225}=\frac{-3925}{-225}\\X=\frac{157}{9}=17.4444...$

17.4444 rounded to the nearest whole number is 17.

If Y drops to 4,

$4 = 47.25- 2.25X\\47.25-2.25X=4\\47.25\cdot \:100-2.25X\cdot \:100=4\cdot \:100\\4725-225X=400\\4725-225X-4725=400-4725\\-225X=-4325\\X=\frac{173}{9}=19.2222...$

19.2222 rounded to the nearest whole number is 19.