Question

The senior class at Bay High School buys jerseys to wear to the football games.
The cost of the jerseys can be modeled by the equation C = 0.1x^2+ 2.4x + 25,
where is the amount it costs to buy x jerseys. How many jerseys can they purchase for $430?

Answer 1

Answer:

52 jerseys

Step-by-step explanation:

Equate the equation to 430; 430 = 0.1x^2 + 2.4x + 25

I used calculator for this part, shift + solve (it depends on ur calcu)

And I got 52.761. Since you cannot have .761 jersey I rounded it down.

Answer 2

52 jerseys can be bought with $430.

What is a quadratic equation?

'A quadratic equation is an algebraic equation of the second degree in x.'

According to the given problem,

430 = $0.1x^{2} +2.4x +25$

Subtracting 25 from both sides,

$405 = 0.1x^{2} + 2.4x$

Dividing both sides by 0.1,

$4050 = x^{2} +24x$

Adding 144 to both sides,

$4050 + 144 = x^{2} + 24x + 144$

⇒$\sqrt{4194} = \sqrt{(x + 12)^{2} }$

Subtracting 12 from both sides,

⇒ $x = -12 ± \sqrt{4194}$

Hence, we can conclude that x is 52, since we can only use a positive value for this problem.

Learn more about quadratic equations here: https://brainly.com/question/14418346

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