Answer:
y = 4/3x - 2
Step-by-step explanation:
4x −1 = 3y + 5
+ 1 + 1
4x = 3y + 6
-3y -3y
-3y + 4x = 6
- 4x -4x
-3y = -4x + 6
/-3 /-3
y = 4/3x - 2
*View attached graph for ordered pairs*
Hope this helps!
Given:
Week 6 = 14 miles
Week 5 = 1.5 miles less than week 6.
1.5 miles is the common difference.
Week 6 = 14 miles
Week 5 = 12.5 miles
Week 4 = 11 miles
Week 3 = 9.5 miles
Week 2 = 8 miles
Week 1 = 6.5 miles
f(t) = first term + common difference(t-1)
f(t) = 6.5 miles + 1.5 miles (t-1)
f(1) = 6.5 + 1.5(1-1)
f(1) = 6.5 miles
f(2) = 6.5 + 1.5(2-1)
f(2) = 6.5 + 1.5
f(2) = 8 miles
Notice that the given info consists of boundary lines for an area in the xy plane. We are interested ONLY in values of x and y that are 0 or greater (positive). Graph 5x + 3y

37 and 3x + 5y less than or equal to 35.
Find the points of intersection of all four straight lines (including the x- and y-axes). There will be 4 such points (incl. the origin).
Next, evaluate the objective function 2x + 14y at each of these 4 points. Which of the four results is the largest? the smallest? Label them as 'maximum' and 'minimum.'
Questions? Just comment on this discussion.
The solution is (6, -8) (solved by graphing with Desmos.com/calculator)