Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below. ti

Question

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

time (minutes) water (gallons)
0.5 0.8
1
3
40

What is the constant of proportionality?

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Tài Đức 5 years 2021-07-24T03:08:08+00:00 1 Answers 120 views 0

Answers ( )

  1. thanhha
    1
    2021-07-24T03:10:01+00:00
    Reply

    Answer:

    r = 1.6

    Step-by-step explanation:

    Given

    x   —–   y

    0.5. — 0.8

    1. — 1.6

    3.— 4.8

    25. — 40

    Required

    Determine the constant of proportionality

    This can be calculated using the following formula:

    y = rx ; Where r is the constant of proportionality;

    Solve for r

    r = \frac{y}{x}

    When x = 0.5; y = 0.8

    r = \frac{0.8}{0.5}

    r = 1.6

    When x =  1; y =1.6

    r = \frac{1.6}{1}

    r = 1.6

    When x =  3; y = 4.8

    r = \frac{4.8}{3}

    r = 1.6

    When x =  25; y = 40

    r = \frac{40}{25}

    r = 1.6

    Notice that the value of r is constant throughout;

    Hence:

    r = 1.6

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