The function C(x)=4x+850 closely approximates the cost of daily production run of x picture frames. The number of picture frames produced is represented by the function
x(t)=90t, where t is the time in hours since the beginning of the production run.
now here's where I need help,
Give the cost of a daily production run, C, as a function of time, t.
how should i go about this and plugging in the other equation?
To find the cost of a daily production run, C, as a function of time, t, we need to substitute the function x(t) into the cost function C(x).
Given that x(t) = 90t, we can substitute this expression for x into the cost function C(x) = 4x + 850:
C(t) = 4(x(t)) + 850
Substituting x(t) = 90t:
C(t) = 4(90t) + 850
Simplifying:
C(t) = 360t + 850
Therefore, the cost of a daily production run, C, as a function of time, t, is C(t) = 360t + 850.