Questions: John is paid a weekly salary of 380 plus 8% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is 510. A. About 1,635 B. About 1,625 C. About 1,620 D. About 1,632

John is paid a weekly salary of 380 plus 8% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is 510.
A. About 1,635
B. About 1,625
C. About 1,620
D. About 1,632

Transcript text: John is paid a weekly salary of $\$ 380$ plus $8 \%$ of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is $\$ 510$. A. About $\$ 1,635$ B. About $\$ 1,625$ C. About $\$ 1,620$ D. About $\$ 1,632$

Solution

Solution Steps

Step 1: Understand the Problem

John's weekly salary is $380 plus 8% of his sales. We need to estimate John's sales if his week's pay is $510.

Step 2: Set Up the Equation

Let $ S $ be John's sales. His total pay $ P $ can be expressed as: \[ P = 380 + 0.08S \] Given $ P = 510 $, we substitute and solve for $ S $: \[ 510 = 380 + 0.08S \]

Step 3: Solve for Sales $ S $

Subtract 380 from both sides: \[ 510 - 380 = 0.08S \] \[ 130 = 0.08S \] Divide both sides by 0.08: \[ S = \frac{130}{0.08} \] \[ S = 1625 \]