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cluponka [151]
3 years ago
12

There are two tables shown below. Which table shows a constant rate?

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

Option B

Step-by-step explanation:

To calculate the rate of the table is given by the expression,

Rate = \frac{\triangle y}{\triangle x}

For table A,

    x              y                 \triangle y                   \triangle x          \frac{\triangle y}{\triangle x}

    2             10                 -                       -              -

    3             15           15 - 10 = 5        3 - 2 = 1      \frac{5}{1}=5

    5             20          20 - 15 = 5       5 - 3 = 2     \frac{5}{2}=2.5

    8             25          25 - 20 = 5      8 - 5 = 3     \frac{5}{3}=1.67

Therefore, rate is not constant in this table.

For table B

    x              y                 \triangle y                   \triangle x          \frac{\triangle y}{\triangle x}

    3              9                 -                       -              -

    5             15           15 - 9 = 6        3 - 5 = 2      \frac{6}{2}=3

    8             24          24 - 15 = 9       8 - 5 = 3     \frac{9}{3}=3

   10             30          30 - 24 = 6     10 - 8 = 2     \frac{6}{2}=3

Therefore, table B shows a constant rate of 3.

Option B is the correct option.

       

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