Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which express
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Answer:
Step-by-step explanation:
<u>Functions </u>
The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:
We need to find the first value of t such that
It means that
Operating with the inequality
Rearranging and dividing by 2, we have a polynomial inequality:
Factoring
There are two possible values for t, both valids because they are positive
We need to find the first value, i.e.
Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.
The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values
