Subjects algebra

Internet Cafe Cost

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1. **State the problem:** We have a function representing the cost $C$ in k10 for internet browsing based on the number of hours $h$ used. The cost function is $C(h) = 10h$. 2. **Determine the domain:** The domain is the set of all possible input values (hours). Since time used cannot be negative, the domain is $h \geq 0$. 3. **Determine the range:** The range is the set of all possible output values (cost). Since cost is $10$ times the hours, and hours are non-negative, the range is $C \geq 0$. 4. **Identify the slope:** The slope is the coefficient of $h$ in $C(h) = 10h$, which is $10$. This means the cost increases by 10 k10 for every additional hour. 5. **Identify the intercept:** The intercept is the value of $C$ when $h=0$. Here, $C(0) = 10 \times 0 = 0$. This means if no time is used, the cost is zero. **Final answers:** - Domain: $h \geq 0$ - Range: $C \geq 0$ - Slope: $10$ (cost per hour) - Intercept: $0$ (no cost if no time used)