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
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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.