Could someone please help me understand how to do this? Thanks! Ill give brainliest.
2 answers:
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<h2>Answer:</h2>
The equation that will be used to find t is:
Total distance that is traveled by Amir is: 5 miles.
and the total time taken by him is: 2 hours.
On the first part of the hike, Amir averaged 3 miles per hour.
Let t denote the time he spent hiking during the second i.e. difficult part of the hike.
- Hence, the time he spent in first part of hike is: 2-t
( Since, the total time was 2 hours)
Also, we know that:
Hence, distance traveled in first part of hike is:
- Now, the distance he will travel in second part of hike will be: 5-3(2-t)
Since the total distance traveled by him is 5 miles.
It is given that his speed decreased to 1.5 miles per hour.
Now, we know that:
Hence, time spent by him in second part of hike is:
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
Thus, 750 lollipops must be sold.