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Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x.The company also discovered that itr costs $45 to produce 2 calculators, $143 to produce 4 calculators, and $ 869 to produce 10 calculators. Find the total cost of producing 7 calculators. 

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the total cost of producing 7 calculators is $425

Answer:  Cost of producing 7 calculators is $425.

Step-by-step explanation:

Since we have given that

There is a quadratic equation.

So, the equation would be in the form of ax²+bx+c

Cost of 2 calculators = $45

so, the equation would be

[tex]2^2a+2b+c=\$45\\\\4a+2b+c=\$45---------(1)[/tex]

Cost of 4 calculators = $143

So, the equation would be

[tex]4^2a+4b+c=\$143\\\\16a+4b+c=\$143---------(2)[/tex]

Cost of 10 calculators = $869

So, the equation would be

[tex]10^2a+10b+c=\$869\\\\100a+10b+c=\$869---------(3)[/tex]

So, by using calculator , we get that

a = 9, b= -5 and c = 19

so, the cost of producing 7 calculators would be

[tex]7^2a+7b+c=49\times 9+7\times -5+19=\$425[/tex]

Hence, Cost of producing 7 calculators is $425.