Question

1. find the slope of the line.a $-\frac{2}{3}$b $\frac{3}{2}$c $-\frac{3}{2}$d $\frac{2}{3}$13. mr. z is starting his own car club, there is a $30 join up fee and a $5 monthly fee.a $y = 30x + 5$b $y = 5x + 30$14. you and your friends plan to attend the state fair this weekend. admission to the fair is $5 and the cost per rid is $0.50. how many rides can you go on if you have $20.a 20 ridesb 30 rides15. at eagle bay, it costs $10 per hour to rent a canoe. nick and his friends rented a canoe for 3 hours and paid $45. write and solve a linear equation to find the cost to rent the canoe for 7 hours.a 85b 95

Explanation:

Step1: Pick 2 points on line

Choose $(-2, 3)$ and $(2, -3)$

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{2 - (-2)} = \frac{-6}{4} = -\frac{3}{2}$
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Step1: Identify fixed/variable costs

Fixed fee: $\$30$, monthly fee: $\$5$

Step2: Write linear equation

Let $y=$total cost, $x=$months. $y = 5x + 30$
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Step1: Calculate ride budget

Total money minus admission: $20 - 5 = 15$

Step2: Solve for number of rides

Number of rides $= \frac{15}{0.50} = 30$
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Step1: Find fixed fee (b)

Use $y=mx+b$, $m=10$, $x=3$, $y=45$. $45 = 10(3) + b$ → $b=15$

Step2: Equation for 7 hours

$y = 10(7) + 15 = 70 + 15 = 85$

Answer:

1. C. -3/2
2. B. $y = 5x + 30$
3. B. 30 rides
4. A. 85