A campground charges $14 per night plus a one-time fee of $20 to camp. Write an equation that shows the relationship between the number of nights spent at the campground ( x ) and the total charge ( y ), in dollars, to camp. Then, find the cost to camp for 8 nights. Responsesy = 14x + 20; The cost to camp for 8 nights is $132y = 14x + 20 ; The cost to camp for 8 nights is $132y = 20x + 14 ; The cost to camp for 8 nights is $174y = 20x + 14 ; The cost to camp for 8 nights is $174y = 20x - 14: The cost to camp for 8 nights is $146y = 20x - 14 : The cost to camp for 8 nights is $146y = 14x - 20; The cost to camp for 8 nights is $92
Question
A campground charges 20 to camp. Write an equation that shows the relationship between the number of nights spent at the campground ( x ) and the total charge ( y ), in dollars, to camp. Then, find the cost to camp for 8 nights. Responsesy = 14x + 20; The cost to camp for 8 nights is 132y = 20x + 14 ; The cost to camp for 8 nights is 174y = 20x - 14: The cost to camp for 8 nights is 146y = 14x - 20; The cost to camp for 8 nights is $92
Solution
The correct equation that shows the relationship between the number of nights spent at the campground (x) and the total charge (y), in dollars, to camp is y = 14x + 20.
To find the cost to camp for 8 nights, you substitute x = 8 into the equation:
y = 14*8 + 20 y = 112 + 20 y = $132
So, the cost to camp for 8 nights is $132.
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