Question

Blake is a member of a golf club. When he became a member, he deposited money into his club account. For each round of golf that he plays at the club, a fixed amount is deducted from his account. If y represents the amount, in dollars, left in his account after playing x rounds, which of the following situations is represented by the table below?

Rounds Played 2 4 6 8
Amount Remaining $280 $240 $200 $160
A.
Blake's account initially had $280, which is decreasing at the rate of $20 per round.
B.
Blake's account initially had $280, which is decreasing at the rate of $40 per round.
C.
Blake's account initially had $320, which is decreasing at the rate of $40 per round.
D.
Blake's account initially had $320, which is decreasing at the rate of $20 per round.
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Answer 1

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.