Final answer:
To find the number of kilowatt-hours Jamie can use and keep her bill to no more than $144, subtract $10.20 from $144 and divide by $3.88. The maximum number of kilowatt-hours Jamie can use is 33 kWh.
Step-by-step explanation:
To find the number of kilowatt-hours Jamie can use and keep her bill to no more than $144, we need to set up an equation. Let x be the number of kilowatt-hours. The equation is: $10.20 + $3.88x ≤ $144. We can solve this by subtracting $10.20 from both sides and then dividing by $3.88. This gives us x ≤ 33.35. Since we can't have a fraction of a kilowatt-hour, the maximum number of kilowatt-hours Jamie can use is 33 kWh. Therefore, the correct answer is option a. 32 kWh.