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 [tex]Y = 47.25- 2.25X[/tex] and we want to find X when Y = 8. To do this we solve the equation for X.
[tex]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...[/tex]
17.4444 rounded to the nearest whole number is 17.
If Y drops to 4,
[tex]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...[/tex]
19.2222 rounded to the nearest whole number is 19.
