Hi there! Hopefully this helps!
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<em>0.77</em><em> </em><em>as a </em><u><em>fraction</em></u><em> is </em><u><em>77/100</em></u><em>.</em>
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<em>0.2904 as a </em><u><em>fraction</em></u><em> is </em><u><em>2904⁄10000</em></u><em> </em><u><em>unsimplified</em></u><em>. (Simplified would be </em><u><em>363⁄1250</em></u><em>)</em>
Answer:
<h2>y = -9x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>y = mx + b</em>
<em>m</em> - slope
<em>b</em> - y-intercept (0, b)
We have the slope <em>m = -9</em> and the y-intercept (0, -2) → <em>b = -2</em>.
Substitute:
<em>y = -9x + (-2) = -9x - 2</em>
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7