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alisha [4.7K]
3 years ago
8

The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/

4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/2 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville?
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
I don’t know 74 (・・?)
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katrin2010 [14]

Answer:

C

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The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for
Fudgin [204]

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;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

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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.

5 0
3 years ago
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