Question
Liz wants to earn 650 to purchase a new laptop, so she decides to make bracelets and sell them online. Based on a friend's sales history.Liz knows she can use the expression -5p+115 to estimate the number of bracelets she'll sell given the price per bracelet, p. Which equation can Liz use to estimate the price per bracelet that will earn her 650 in revenue? 650p=p(-5p+115) 650=p(-5p+115) What two prices will earn Liz exactly 650 in revenue? or s
Solution
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Resposta
To find the equation Liz can use to estimate the price per bracelet that will earn her
650.The expression given is
, which represents the number of bracelets Liz needs to sell. To find the price per bracelet,
, that will result in
650 = p(-5p + 115)
650) being equal to the price per bracelet (
-5p + 115).To find the two prices that will earn Liz exactly
650 = p(-5p + 115)
p
650 = -5p^2 + 115p
5p^2 - 115p + 650 = 0
ax^2 + bx + c = 0
a = 5
b = -115
c = 650
p = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
p = \frac{115 \pm \sqrt{(-115)^2 - 4(5)(650)}}{2(5)}
p = \frac{115 \pm \sqrt{13225 - 13000}}{10}
p = \frac{115 \pm \sqrt{225}}{10}
p = \frac{115 \pm 15}{10}
p
p_1 = \frac{115 + 15}{10} = 13
p_2 = \frac{115 - 15}{10} = 10
650 in revenue are
13.