In a Country X, temperature decrease (in degrees) is linearly related to percentage increase in sale of water heaters and is given by the relation:
ΔT= ky+5
Where,
ΔT is temperature decrease (in degrees).
y is the increase in sale of water heaters (in percentage).
K is a constant.
A temperature decrease of 10 degrees results in a 1% increase in sale of water heaters. What would be the percentage increase in sale of water heaters when temperature decreases by 15 degrees?
a)
1.5%
b)
2%
c)
2.5%
d)
3%
e)
3.5%
Correct answer is option 'B'. Can you explain this answer?
∆T=ky+5; given: ∆T=10 y=1 therefore: 10= k(1) +5 => k= 10-5=5 having determined value of k=5, we add new values as ∆T=15 k=5 y=? thus, 15=5y+5 or, 5y=15-5 5y=10 y=2 since y is the value in percentage of increase in sale of water heater, therefore, the percentage of increase in water heater is 2%.
∆T=ky+5;given: ∆T=10y=1therefore: 10= k(1) +5=> k= 10-5=5having determined value of k=5, we add new values as∆T=15k=5y=? thus, 15=5y+5or, 5y=15-55y=10y=2since y is the value in percentage of increase in sale of water heater, therefore, the percentage of increase in water heater is 2%.
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∆T=ky+5;given: ∆T=10y=1therefore: 10= k(1) +5=> k= 10-5=5having determined value of k=5, we add new values as∆T=15k=5y=? thus, 15=5y+5or, 5y=15-55y=10y=2since y is the value in percentage of increase in sale of water heater, therefore, the percentage of increase in water heater is 2%.