toya is a software salesperson. Her base salary is \( \$ 1700 \) and she makes \( \$ 90 \) more for every copy of English is Fun she sells. Her total pay, P (In dollars), after oling \( C \) copies is given by the following function. \[ P(c)=1700+90 c \] inswer the following questions. (a) What is Latoya's total pay if she sells 24 coples? \[ 5] \] (b) If Latoya's total pay is \( \$ 4850 \), how many copies did she sell? \( \square \) coples
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To find Latoya's total pay if she sells 24 copies, we can plug \(C = 24\) into the function: \[ P(24) = 1700 + 90 \times 24 = 1700 + 2160 = 3860 \] So, if Latoya sells 24 copies, her total pay is \( \$ 3860 \). To find out how many copies Latoya sold when her total pay is \( \$ 4850 \), we can set up the equation: \[ 4850 = 1700 + 90C \] Subtracting 1700 from both sides gives: \[ 3150 = 90C \] Now, dividing by 90: \[ C = \frac{3150}{90} = 35 \] So, Latoya sold \(35\) copies.