Answer:
Don't stress your self out. Take your time and read over notes, write down things you think are important.
Answer: it would take 280 miles before Laura pays the same amount for both plans..
Step-by-step explanation:
Let x represent the number of miles that Laura drives using either the first plan or the second plan
Let y represent the total cost of x miles when using the first plan
Let y represent the total cost of x miles when using the second plan
The first plan has an initial fee of $55.98 and costs an additional $0.13 per mile driven. This means that the total cost of x miles would be
y = 0.13x + 55.98
The second plan has an initial fee of $69.98 and costs an additional $0.08 per mile driven.This means that the total cost of x miles would be
z = 0.08x + 69.98
To determine the number of miles that Laura would drive before the amount for both plans becomes the same, we would equate y to z. It becomes
0.13x + 55.98 = 0.08x + 69.98
0.13x - 0.08x = 69.98 - 55.98
0.05x = 14
x = 280
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Using 1st equation:
15 = 16/3 + b
(45-16)/3 = b
29/3 = b
Using last equation:
47 = 16*7/3 + b
(141-112)/3 = b
29/3 = b
