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9 July, 14:38

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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  1. 9 July, 14:41
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    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.
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