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Question

The expression ax+b is equal to 13 when x is 5 and to 25 when x is 13. Find the value of the expression when x is 0.5

A
7.55
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B
9.23
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C
6.33
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D
6.25
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Solution

The correct option is D 6.25
Given, ax+b=13 when x=5

=>5a+b=13 --- (1)

Also, ax+b=25 when x=13

=>13a+b=25 --- (2)

Subtracting equation (1)

from (2), we get 8a=12=>a=32

Substituting a=32 in the equation (1), we get 152+b=13=>b=112


So, value of ax+b when x=0.5 is 32×0.5+112=6.25


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