Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
Answer:
If we are to treat these as two ordered pairs, then the rate of change is 1.25.
Step-by-step explanation:
To find this, use the slope equation with the ordered pairs.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 9/16 - 9 1/16)/(12 - 10)
m = (2 8/16)/2
m = 2.5/2
m = 1.25
Now we know that this could be a function since we have a constant slope.
