Zachary function:
Z(t) = 40 + 20t
Isaac function:
I(t) = 85 + 11t
Graph each function to see the interval of time when one person has more money than the other.
Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).
Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.
Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.
Make two equations from the information. Then graph them and see where they intersect. The answer is 62 miles. Plug 62 back into both equations and they should both be the same number.
68 miles / hour
Average speed = distance / time
distance = 170 and time = 5/2 ( as an improper fraction)
speed = 170 ÷ 
= 170 × 
= 
= 68
First, we calculated the discounted price which would have been paid by Keith. That is the product of 85% and $36,000.
($36,000) x (85%) = $30,600
Then, after negotiating to pay 9% off the sale price, he will only need to pay 91% of the sale price. The new price would be,
($30600) x (0.91) = $27846
Thus, Keith will only need to pay $27,846.
