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bezimeni [28]
2 years ago
15

Find k, the constant of proportionality, for the data in this table. Then write an equation for the relationship.

Mathematics
1 answer:
VashaNatasha [74]2 years ago
7 0

Answer:

k=\frac{32}{5},  y=\frac{32}{5}x

k=6.4, y=6.4x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Find the value of the constant of proportionality k

take any ordered pair from the data

For x=25, y=160

k=\frac{y}{x}

substitute the values of x and y

k=\frac{160}{25}

simplify

k=\frac{32}{5}

The linear equation is equal to

y=\frac{32}{5}x

or

y=6.4x

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