An online camera retailer currently offers a 40% discount on cameras.
Write a function relating a camera's purchases price, y, to the retail price, x. Give the domain of this function.
I'm really stuck on this problem.
Thanks so much for your help.
y = 0.6 x
x>0
To determine the camera's purchase price, y, in terms of the retail price, x, considering a 40% discount, follow these steps:
1. Calculate the discount amount by multiplying the retail price (x) by 40% (0.40): discount = 0.40 * x.
2. Subtract the discount amount from the retail price to obtain the purchase price: y = x - discount.
3. Simplify the equation: y = x - 0.40x.
4. Combine like terms: y = 0.60x.
5. The resulting equation represents the function relating the camera's purchase price, y, to the retail price, x: y = 0.60x.
The domain of this function is the set of all possible retail prices, x. Since there are no restrictions or limitations mentioned, the domain can be considered as all real numbers. Thus, the domain is (-∞, +∞), where (-∞ represents negative infinity and +∞ represents positive infinity).