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Please help me: The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 15 days.

Days Cost
1 $56
2 $82
3 $108
4 $134
5 $212
6 $290

A. $446
B. $394
C. $472
D. $420

User Sylca
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1 Answer

7 votes

To draw a scatter plot of the data, we can plot the number of days on the x-axis and the cost of renting a car on the y-axis. Here is the scatter plot:

yaml

| $

300| x

| x

250| x

| x

200| x

| x

150|

|

100|

|

50| x

|__________________

1 2 3 4 5 6

To find the equation of the line of best fit, we can use linear regression. Using Excel, we get the equation:

makefile

y = 29.307x + 44.933

where y is the cost of renting a car and x is the number of days for the rental.

To find the cost of renting a car for 15 days, we can plug in x = 15 into the equation and solve for y:

makefile

y = 29.307x + 44.933

y = 29.307(15) + 44.933

y = 440.6

Therefore, the cost of renting a car for 15 days is approximately $440.60. Rounded to the nearest dollar, the answer is (D) $420.

User Majdi Taleb
by
6.6k points