Question

tutor step by step 3 of 3 you were asked to find the number of deliveries a delivery driver needs to make to make at least $225 in one day if she makes $78 each day that she works and makes approximately $7 in tips for each delivery that she makes. after subtracting 78, you were left with the expression below. now, multiply \\(\frac{1}{7}\\) to both sides of the inequality to obtain a coefficient of \1\ for the variable by solving the problem for x, the minimum number of deliverys the delivery driver needs to make. \\(7x \geq 147\\) \\(x \geq \\) box multiplication principle of inequalities.

Explanation:

Step1: Apply multiplication principle

We have the inequality \(7x \geq 147\). Multiply both sides by \(\frac{1}{7}\) (which is the same as dividing by 7).
\(\frac{1}{7} \times 7x \geq \frac{1}{7} \times 147\)

Step2: Simplify both sides

Simplifying the left side, \(\frac{1}{7} \times 7x = x\). Simplifying the right side, \(\frac{147}{7}=21\). So we get \(x \geq 21\).

Answer:

21