What is the circumference
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Answer:
The cost of renting the car for 20 days is $481
Step-by-step explanation:
The table of values can be formed as follows;
Day, Cost
1, $44
2, $67
3, $90
4, $113
7, $182
10, $251
From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.
The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;
(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;
The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;
y - 44 = 23·x - 23
y = 23·x - 23 + 44 = 23·x + 21
The cost of renting the car for 20 days is then;
10×23 + 21 = $481
The cost of renting the car for 20 days = $481.
In both cases there are more than one possible function sutisfying given data.
1. If
- x‑intercepts are (–5, 0), (2, 0), and (6, 0);
- the domain is –5 ≤ x ≤ 7;
- the range is –4 ≤ y ≤ 10,
then (see attached diagram for details) you can build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their maximum and minimum left and right you can obtain another function that satisfies the conditions above.
2. If
- x‑intercepts are (–4, 0) and (2, 0);
- the domain is all real numbers;
- the range is y ≥ –8,
then you can also build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their minimum left and right you can obtain another function that satisfies the conditions above.
Note, that these examples are not unique, you can draw a lot of different graphs of the functions.
Answer: yes, there are more than one possible function
