Linda's start up cost for her online jewelery store was $250, as she has to pay an additional $60per month to keep it running. W
1 answer:
Total Cost = 250 + 60x is the equation that models the given situation
<em><u>Solution:</u></em>
Given that, Linda's start up cost for her online jewelery store was $250
She has to pay an additional $60 per month to keep it running
To find: Equation that models this situation
From given,
Start up cost = $ 250
Let "x" be the number of months she keeps the store running
Additional pay per month = $ 60
Thus, the total cost Linda spend to keep the store running is given as:
Total Cost = Startup cost + (Additional pay per month)(number of months)
Thus the equation that models the given situation is found
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To solve this problem, we need to know 2 relationships:
<h2>1. AC = AB + BC</h2>The distance of AC is the sum of AB and BC.
We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).
<h2>2. AB = BC</h2>The distance of AB is the same as AC.
We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).
You can see the attached image (at the bottom) for a visualization of this.
<h2>Putting them together</h2>Since we know the values of AB and BC...
...we can put these values into our 2nd equation and solve for x:
Add 7 to both sides:
Subtract x from both sides:
Divide both sides by 2:
Knowing x, we can find the distance of AC using our first equation.
Let's put in the values of AB and BC:
Before we put in x = 8, we can simplify this:
We group x and 3x and add those together. Then we subtract 7 from 9.
With this equation, we can put in x = 8:
Since 4 * 8 = 32:
Finally, we have found both x and AC.
<h2>Answer</h2>x = 8
AC = 34
