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Direct Variation and Ratio Quiz

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Questions and Answers

In the given text, what is the definition of a ratio?

A comparison of two quantities with different units

A comparison of two quantities with the same units and same type (correct)

A statement of equality of two ratios of different types and different units

A statement of equality of two ratios of the same type and same unit

If y varies directly as x, which equation represents this relationship?

$y = k/x$

$y = k + x$

$y = k - x$

$y = kx$ (correct)

If the ratio 3:12 is simplified, what is the result?

2:6

4:1

1:4 (correct)

3:12

What is the total amount when Rs 5070 is divided among three persons in the ratio 2:5:6?

Rs. 5070 Signup and view all the answers

What does it mean if four quantities a, b, c, d are in proportion?

$ad = bc$ Signup and view all the answers

If a−b, a−b, a+ab+b, and x are in proportion, what can be concluded?

$a−b\neq a+ab+b$ Signup and view all the answers

What is the value of y when x = 11 in the given direct variation equation y = kx?

99 Signup and view all the answers

If y varies directly as x, and y = 27 when x = 3, what is the constant of variation (k) in the direct variation equation y = kx?

9 Signup and view all the answers

What is the value of y when x = 8 in the given direct variation equation y = kx, if k = 3/2?

15 Signup and view all the answers

In inverse variation, if y = k/x, and y = 6 when x = 4, what is the constant of variation (k)?

8.5 Signup and view all the answers

If 11 : (x - 1) = 22 : 27, what is the value of x?

29 Signup and view all the answers

In the direct variation equation y = kx, if y = 7.5 when x = 15, what is the value of k?

0.75 Signup and view all the answers

Inverse variation is represented by which equation?

$y = \frac{k}{x}$ Signup and view all the answers

When y=49 and x=7 in a direct variation equation, what is the value of k?

49 Signup and view all the answers

When pressure (P) varies inversely with volume (V), and P = 10 N/m2 when V = 25m3, what is the value of P when V = 20m3?

-100 N/m2 Signup and view all the answers

Which equation represents inverse variation?

$y=\frac{k}{x}$ Signup and view all the answers

In the direct variation equation $y=kx$, what does $k$ represent?

The constant of variation Signup and view all the answers