Question

In the formula of converting temperature from celsius to fahrenheit f=9/5c+32, how many integer values(not fractional) of f will be there that lies between 100 to 200 for integer values of

c.

Answer 1

Answer:

11 integral Values

Step-by-step explanation:

In the formula of converting temperature from celsius to fahrenheit f=9/5c+32, how many integer values(not fractional) of f will be there that lies between 100 to 200 for integer values of  c.

f = 9c/5  + 32

f to be between 100 to 200

9c/5 should lie between  68  & 168

68  < 9c/5  < 168

=> 340 < 9c  < 840

=>  37.77 < c  < 93.33

=> 38 ≤ c ≤ 93

Value of c would would be 38 to 93 ( both inclusive)

But value of c should be a multiple of 5

value of c would be

40 , 45 , 50 ,...................................,85 , 90

5 ( 8 , 9 , 10 , .................................., 17 , 18)

18-8 +1 = 11 integral Values