Question

Brandon wants to buy a new bike. The model hetkestis on sale for 15% of its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represents the amount Brandon has to pay?

a.) 0.152−50

b.) 852−50

c.) 30.85(x−50)

d.) 42−0.152−50

Answer 1

Brandon has to pay 0.85 times the original cost of the bike minus $50, which is represented by the expression 0.85 * x - 50. This calculation takes into account a 15% discount from the original cost and his parents' contribution.

Step-by-step explanation:

To calculate the amount Brandon has to pay for the new bike after a 15% discount and his parents contributing $50, we can use the following steps:

1. Calculate the discount amount by finding 15% of the original cost (x dollars): 0.15 * x.
2. Subtract the discount from the original cost to find the new price of the bike: x - (0.15 * x).
3. Subtract the $50 that Brandon's parents agree to pay: (x - (0.15 * x)) - 50.

Simplifying the expression in step 3 gives us the final expression which represents the amount Brandon has to pay:

(1 - 0.15) * x - 50

Owing to the discount, the coefficient 1 - 0.15 becomes 0.85. So the expression simplifies to:

0.85 * x - 50