The problem states that when sean was 4, rachel was 2. sean’s age is twice rachel’s age. can this also be a rule for the relationship between their ages?

No

Step-by-step explanation:

No because the rule is that Sean is two years older than Rachel. For example, when Sean is 10, Rachel will be 8, which is two less than 10, not 5 which is half of 10. So, the rule doesn't apply for the relationship between their ages.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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