Question

use the following to answer #2 - 3. shell brings $30 to the county fair. each time she rides the ferris wheel, she spends $3. the table shows some values for how many times she might ride and how much money she will have left if she does. \

$$\begin{tabular}{|c|c|} \\hline number of rides & money remaining (\\$) \\\\ \\hline 0 & 30 \\\\ \\hline 1 & 27 \\\\ \\hline 2 & 24 \\\\ \\hline \\end{tabular}$$

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question 2 \
1 point \
what is the slope intercept form of the equation of the line that models this situation? \
\\( \circ y = -3x + 30 \\) \
\\( \circ y = 3x - 30 \\) \
\\( \circ y = -3x - 30 \\) \
\\( \circ y = -30 + 3x \\)

Explanation:

Step1: Identify slope (rate of change)

Slope $m = \frac{27-30}{1-0} = -3$

Step2: Identify y-intercept (initial money)

When $x=0$, $y=30$, so $b=30$

Step3: Write slope-intercept form

Slope-intercept formula: $y = mx + b$, substitute $m=-3$, $b=30$ to get $y = -3x + 30$

Answer:

$y = -3x + 30$