Answer:
7/12 lbs
Step-by-step explanation:
Marlon had: 7/8 turkey
he used : 2/3 turkey
equation is: (7/8)*(2/3) = 14/24 or 7/12
to find the x-intercept of any equation, we simply set y = 0, and then solve for "x".
![\bf \stackrel{f(x)}{0}=\cfrac{2}{3}x+4\implies -4=\cfrac{2x}{3}\implies -12=2x\implies \cfrac{-12}{2}=x\implies -6=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{x-intercept}{(-6,0)}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7B0%7D%3D%5Ccfrac%7B2%7D%7B3%7Dx%2B4%5Cimplies%20-4%3D%5Ccfrac%7B2x%7D%7B3%7D%5Cimplies%20-12%3D2x%5Cimplies%20%5Ccfrac%7B-12%7D%7B2%7D%3Dx%5Cimplies%20-6%3Dx%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7Bx-intercept%7D%7B%28-6%2C0%29%7D~%5Chfill)
now to find the y-intercept....hmmm wait just a second, the equation is already in slope-intercept form, therefore,
![\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{7em}f(x)=\stackrel{slope}{\cfrac{2}{3}}x+\stackrel{y-intercept}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{y-intercept}{(0,4)}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%0A%5Ccline%7B1-1%7D%0Aslope-intercept~form%5C%5C%0A%5Ccline%7B1-1%7D%0A%5C%5C%0Ay%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%0A%5C%5C%5C%5C%0A%5Ccline%7B1-1%7D%0A%5Cend%7Barray%7D~%5Chspace%7B7em%7Df%28x%29%3D%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7Dx%2B%5Cstackrel%7By-intercept%7D%7B4%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7By-intercept%7D%7B%280%2C4%29%7D~%5Chfill)
Answer:
$30
Step-by-step explanation:
The formula for interest is I = Prt
Principal = 600
Rate = 0.05 or 5%
Time: 1 year
600 x 0.05 x 1 = 30
She earned an interest of 30.