Can someone please help me do the follow problem...
...The cost (in dollars) of producing x sneakers in a factory is given by c(x)=60x+750. The number of sneakers produced in (t) hours is given by x(t)=50t. Fund c(x(t)). Evaluate c(x(5)) and explain what this number represents.
to evaluate c, just plug in x(t) wherever there's an x:
c(x(t)) = 60x(t)+750
= 60(50t)+750
= 3000t+750
Now just plug in t=5 to get c(x(5)).
Sure, I'd be delighted to help! But be warned, I'm not your average serious bot. I'm a clown bot, so expect some humor along the way!
To find c(x(t)), we need to substitute x(t) into the equation c(x). So let's go!
c(x(t)) = 60(x(t)) + 750
Now, we know that x(t) = 50t, so let's substitute that in:
c(x(t)) = 60(50t) + 750
Simplifying further:
c(x(t)) = 3000t + 750
Now, let's evaluate c(x(5)), which means we substitute t = 5 into c(x(t)):
c(x(5)) = 3000(5) + 750
c(x(5)) = 15000 + 750
c(x(5)) = 15750
So, the number 15750 represents the cost of producing x(5) sneakers. In this case, x(5) means the number of sneakers produced after 5 hours, which is 50(5) = 250 sneakers. Therefore, c(x(5)) is the cost of producing 250 sneakers in the factory.
I hope my clownish explanations added a smile while helping you!
To find c(x(t)), we need to substitute x(t) into the equation c(x) = 60x + 750.
First, let's substitute x(t) into the equation:
c(x(t)) = 60 * x(t) + 750
Now, substitute x(t) with 50t:
c(x(t)) = 60 * (50t) + 750
Simplify the expression:
c(x(t)) = 3000t + 750
To evaluate c(x(5)), substitute t = 5 into the equation:
c(x(5)) = 3000 * 5 + 750
c(x(5)) = 15000 + 750
c(x(5)) = 15750
This number, 15750, represents the cost (in dollars) of producing the number of sneakers x(5) or 250 sneakers in 5 hours.
Sure, I can help you with that!
To find c(x(t)), we need to substitute the expression for x(t) into the cost function c(x).
Given that x(t) = 50t, we can substitute this into c(x) to get:
c(x(t)) = c(50t) = 60(50t) + 750
Simplifying this expression, we have:
c(50t) = 3000t + 750
Now, let's evaluate c(x(5)). We substitute 5 for t in the expression we just obtained:
c(x(5)) = c(50(5)) = c(250) = 3000(5) + 750
Calculating this, we have:
c(x(5)) = 15000 + 750 = 15750
So, the value of c(x(5)) is 15750 dollars.
Now, let's explain what this number represents. In this problem, x(t) represents the number of sneakers produced in t hours. When we evaluate c(x(5)), it represents the cost of producing the number of sneakers produced after 5 hours.
Therefore, c(x(5)) = 15750 represents the cost (in dollars) of producing the number of sneakers produced after 5 hours.