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Chapter 3: Q5. (page 208)

Suppose yvaries directly as x and y=14when x=4. What is the value of y when x=9?

A 25.5

B 27.5

C 29.5

D 31.5

Short Answer

Expert verified

The value of y is 31.5 .Option D is correct.

Step by step solution

01

Step 1. State the concept of Direct Proportionality.

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value. The proportion definition says that when two ratios are equivalent, they are in proportion. The symbol used to relate the proportions is "鈭�".

Here yvaries directly as x.

That is, y鈭�x

Thereforey=kx 鈥� (1)

where kis a constant.

02

Step 2. Find the value of Constant ‘k’.

Find the value of k by substituting y=14鈥夆赌塧苍诲鈥夆赌�x=4鈥�in equation y=kx.

14=k.4144=4k4鈥夆赌夆赌�72=kk=72

03

Step 3. Calculate the value of ‘y’.

Calculate the value of y by substituting x=9鈥夆赌塧苍诲鈥夆赌�y=72鈥�in y=kx.

y=72脳9鈥夆赌夆赌夆�夆赌夆赌�鈥夆赌夆赌夆�夆赌夆赌夆�夆赌夆赌夆�夆赌夆赌夆��y=632鈥夆赌夆赌夆�夆赌夆赌夆��y=31.5

Thus the value of yis 31.5.

Hence option D is correct.

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Most popular questions from this chapter

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5,8,鈭�3,7

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