1. **State the problem:** A cell phone plan costs 4.97 per month plus 0.03 per minute. We need to find the charge for 60 minutes, write the cost equation, and find the minutes for a charge of 6.83. 2. **Part (a): Calculate the charge for 60 minutes.** The total charge $C$ is given by the fixed monthly cost plus the cost per minute times the number of minutes: $$C = 4.97 + 0.03x$$ where $x$ is the number of minutes. For $x=60$ minutes: $$C = 4.97 + 0.03 \times 60$$ $$C = 4.97 + 1.8$$ $$C = 6.77$$ So, the charge is 6.77. 3. **Part (b): Write the equation in slope-intercept form.** The slope-intercept form is $y = mx + b$, where $m$ is the rate per minute and $b$ is the fixed monthly cost. Here, the cost $C$ depends on minutes $x$: $$C = 0.03x + 4.97$$ This is the equation for the monthly cost. 4. **Part (c): Find the minutes for a charge of 6.83.** Given: $$6.83 = 0.03x + 4.97$$ Subtract 4.97 from both sides: $$6.83 - 4.97 = 0.03x$$ $$1.86 = 0.03x$$ Divide both sides by 0.03: $$\frac{1.86}{\cancel{0.03}} = \frac{0.03x}{\cancel{0.03}}$$ $$x = 62$$ So, the person talked for 62 minutes. **Final answers:** (a) 6.77 (b) $C = 0.03x + 4.97$ (c) 62 minutes