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?

Related Test

Answers

Tushar Ghosh
Jul 15, 2019
∆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%.
∆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%.