Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
2 answers:
The two equations are:
and
<em>Where, </em><em>x is the number of quick car washes</em><em> and </em><em>y is the number of premium car washes</em><em>.</em>
Multiplying the first equation by -5 we have:
Now adding this to the second equation and then solving for y, we have:
Now, taking y = 50 and putting it in any one of the original equations <em>(let's put in the first one)</em> will give us x.
Hence, there was 50 premium car washes and 75 quick car washes.
ANSWER:
"How many premium car washes were ordered?" 50
"How many quick car washes were ordered?" 75
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<u>Solution- </u>
A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.
This can be represented as exponential decreasing function,
Where,
- a = starting amount = 32000
- r = rate = 50% = 0.5 as the sample becomes halved in each hour
- x = hours
Putting the values,
y-intercept means, where x=0, so
The coordinate of this poin will be (0, 32000)
This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.
After 3 hours, number of bacteria cells will be,
The coordinate of this point will be (3, 4000)
