Answer:
D) Blake's account initially had $320, which is decreasing at the rate of $20 per round.
Step-by-step explanation:
Here, according to the question:
x: The total number of golf rounds played
y: Represents the amount, in dollars, left in his account after playing x rounds
Let as assume A is the amount deposited initially.
y = A - n x here n : rate of each round played
Also, here
if x = 2, then y = 280
if x =4, then y = 240
If x = 2 and y = 280, then:
y = A - n x ⇒ 280 = A - 2 n ... (1)
If x = 4 and y = 240, then:
y = A - n x ⇒ 240 = A - 4 n ... (2)
Solving (1) and (2) by (1) - (2), we get:
40 = 2 n or, n = 20
Putting n = 20 in 280 = A - 2 n, we get: A = 280 + 2(20) = 320
⇒ A = $320, n = $20
⇒ The amount initially deposited is $320 and the rate per round is $20
Hence ,Blake's account initially had $320, which is decreasing at the rate of $20 per round.