Question & Answer

Find the value of h when y = 25

When y = 35, the value of h is 119. Work out the value of h when y = 25. Give any decimal answers to 1 d.p.

a) 85.0
b) 80.0
c) 75.0
d) 70.0

1 Answer

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Quizzma TeamDecember 5, 2024

To find the value of ( h ) when ( y = 25 ), we can set up a proportion based on the relationship between ( y ) and ( h ).

Since ( y = 35 ) corresponds to ( h = 119 ), we can express the relationship as follows:

[

frac{h_1}{y_1} = frac{h_2}{y_2}

]

Substituting the known values:

[

frac{119}{35} = frac{h}{25}

]

Now, we can cross-multiply to solve for ( h ):

[

119 times 25 = 35 times h

]

Calculating ( 119 times 25 ):

[

119 times 25 = 2975

]

Now, divide both sides by 35:

[

h = frac{2975}{35} approx 85.0

]

Thus, the value of ( h ) when ( y = 25 ) is a) 85.0.