Question

1. the data below in the table shows the cost of renting a paddle boat by the hour, including the deposit.

hours (h) | cost in dollars (c)
2 | 20
4 | 30
6 | 40

if hours (h) were graphed on the x - axis and cost (c) were graphed on the y - axis, write the equation of the line fits the data?

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{c_2 - c_1}{h_2 - h_1}$. Using the points (2, 20) and (4, 30):
$m = \frac{30 - 20}{4 - 2} = \frac{10}{2} = 5$

Step2: Find the y-intercept (b)

Use the point-slope form $c - c_1 = m(h - h_1)$ with (2, 20) and $m = 5$:
$c - 20 = 5(h - 2)$
$c - 20 = 5h - 10$
$c = 5h + 10$ (check with (6, 40): $5(6) + 10 = 40$, which matches)

Answer:

$c = 5h + 10$