C. YFC hope this helps!!!
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
![C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.](https://tex.z-dn.net/?f=%20C%28x%29%3D125%2B18x%5C%5C%20%5C%5C%20%5Ctext%7BHere%20x%20is%20the%20number%20of%20puppets%7D%5C%5C%20%5C%5C%20%5Ctext%7BSince%20in%20our%20case%20the%20number%20of%20puppets%20is%2050%20so%20replace%20x%20by%2050%20we%20get%20%7D%5C%5C%20%5C%5C%20C%2850%29%3D125%2B18%2A50%5C%5C%20%5C%5C%20C%2850%29%3D125%2B900%5C%5C%20%5C%5C%20C%2850%29%3D1025%20%20%5C%20dollar.%20)
The total cost to make 50 puppets=$1025
Answer:
The absolute number of a number a is written as
|a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation
|x|=a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
|x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
You can write an absolute value inequality as a compound inequality.
−2<x<2
This holds true for all absolute value inequalities.
|ax+b|<c,wherec>0
=−c<ax+b<c
|ax+b|>c,wherec>0
=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
Step-by-step explanation:
Hope this helps :)
12 for the first one, 6*4=24 24 divided by 2
The answer is 1,250 as you add all the items together