Question

I need help ASAP please

Under his cell phone plan, Samuel pays a flat cost of $41.50 per month and $5 per gigabyte. He wants to keep his bill at $52.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Samuel can use while staying within his budget.


Ariana wants to ride her bicycle 37 miles this week. She has already ridden 14 miles. If she rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.

Answer 1

Given :   Samuel pays a flat cost of $41.50 per month and $5 per gigabyte. He wants to keep his bill at $52.50 per month.

To Find :  Write and solve an equation which can be used to determine x , the number of gigabytes of data Samuel can use while staying within his budget.

Solution:

flat cost  =  $41.50 per month

per gigabyte cost  = $5  

=> x  gigabyte cost  = $ 5x

Total cost per month = 41.50  + 5x

Equate total cost

41.50  + 5x  = $52.50

=> 5x = 11

=>  x = 2.2

Samuel can use 2.2  gigabyte while staying within his budget.

37 - 14  = 23 miles more to drive

Drive in 5 days = 5x

5x = 37 - 14

=> 5x = 23

=> x = 4.6  miles per day

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