Given f(x)=9/5x+32, find the following.
a. f(60)
b. f(25)
My answers are 140 and 77.
To find the value of f(x) for a given x, you need to substitute the value of x into the function and simplify.
a. To find f(60), substitute 60 for x in the function f(x) = (9/5)x + 32:
f(60) = (9/5)(60) + 32
= (9/5)(12)(5) + 32
= 108 + 32
= 140
Therefore, the value of f(60) is 140.
b. To find f(25), substitute 25 for x in the function f(x) = (9/5)x + 32:
f(25) = (9/5)(25) + 32
= (9/1)(5/5)(25) + 32
= (9)(1)(5) + 32
= 45 + 32
= 77
Therefore, the value of f(25) is 77.
Your answers are correct.
To find the values of f(60) and f(25) for the given function f(x) = (9/5)x + 32, we can substitute the values of x into the function and evaluate it.
a. To find f(60), substitute x = 60 into the function:
f(60) = (9/5)(60) + 32
Now, we can simplify the expression:
f(60) = (9/5)(60) + 32
= (9/5)(12) + 32
= 108/5 + 32
To add the fractions, we need to have a common denominator. The denominator 5 can be converted to 5/5:
f(60) = 108/5 + 32(5/5)
= 108/5 + 160/5
= (108 + 160)/5
= 268/5
Therefore, f(60) = 268/5, which means it is approximately equal to 53.6.
b. To find f(25), substitute x = 25 into the function:
f(25) = (9/5)(25) + 32
Similarly, we can simplify the expression:
f(25) = (9/5)(25) + 32
= (9/5)(5) + 32
= 45/5 + 32
Again, to add the fractions, we need a common denominator. The denominator 5 can be changed to 5/5:
f(25) = 45/5 + 32(5/5)
= 45/5 + 160/5
= (45 + 160)/5
= 205/5
Therefore, f(25) = 205/5, which means it is equal to 41.
Hence, the correct answers are:
a. f(60) = 268/5 or approximately 53.6
b. f(25) = 205/5 or exactly 41.
just plug in the values for x everywhere in the equation.
f(60) = 9/5 * 60 + 32 = 108+32 = 140
and so on