youve started running advertisements at the beginning of some of your streams for a little extra revenue…

youve started running advertisements at the beginning of some of your streams for a little extra revenue. you currently earn $76.30 in daily revenue; however, for every 1,000 views on your videos, you earn an additional $15.\n\nunfortunately, the online platform you stream on takes a 20% (or 0.20) cut from this as a commission.\n\nif the following equation represents the number of views, x, to reach $100 in total daily revenue, whats the value of x?\n\n0.80×15×\\frac{x}{1000}+76.30 = 100\n\nx = 1,975 views\nx = 2,225 views\nx = 1,850 views\nx = 2,005 views

youve started running advertisements at the beginning of some of your streams for a little extra revenue. you currently earn $76.30 in daily revenue; however, for every 1,000 views on your videos, you earn an additional $15.\n\nunfortunately, the online platform you stream on takes a 20% (or 0.20) cut from this as a commission.\n\nif the following equation represents the number of views, x, to reach $100 in total daily revenue, whats the value of x?\n\n0.80×15×\\frac{x}{1000}+76.30 = 100\n\nx = 1,975 views\nx = 2,225 views\nx = 1,850 views\nx = 2,005 views

Answer

Explanation:

Step1: Isolate the term with x

First, subtract 76.30 from both sides of the equation $0.80\times15\times\frac{x}{1000}+76.30 = 100$. $0.80\times15\times\frac{x}{1000}=100 - 76.30$ $0.80\times15\times\frac{x}{1000}=23.7$

Step2: Simplify the left - hand side coefficient

Calculate $0.80\times15 = 12$, so the equation becomes $12\times\frac{x}{1000}=23.7$.

Step3: Solve for x

Multiply both sides by 1000 to get $12x=23.7\times1000$. $12x = 23700$. Then divide both sides by 12: $x=\frac{23700}{12}=1975$.

Answer:

$x = 1,975$ views