Question

Amira wants to ride her bicycle 48 miles this week. She has already ridden 18 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

Answer is 6 miles per day
Answer is equation 48 = (x)(5) + 18

Step by step

You can use y intercept equation
y = mx + b

y = 48 total miles
m = rate of miles unknown
x = 5 days
b = starting point of 18 miles already ridden

48 = (x) (5) + 18

48 = 5x + 18

Subtract 18 from both sides to isolate the variable

48 - 18 = 5x + 18 - 18

30 = 5x

Now divide both sides by 5 to solve for x

30/5 = 5/5 x

X = 6 miles per day

Check your work, substitute 6 for x in your equation

48 = (6) (5) + 18
48 = 30 + 18
48 = 48

Problem solved!!