First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3
2x - 1 <span>< -5
now add 1 to both sides
2x </span><span>< -4
finally, divide both sides by 2
x </span><span>< -2
i hope this helps !!</span>
Answer:
1. C(m) = 24.95 + 0.05m
2. $34.95
3. 250 miles
Step-by-step explanation:
1. Let's say C(m) is a function that determines the Cost in $ for every mile you drive. Since for any rental, no matter if you drive or not, you have to pay an upfront cost of rental, r, there is a constant you need to add ($24.95 in this case.)
2. Use your equation from part 1 to get C(200) = 24.95 + 0.05(200), this equalts 34.95 dollars.
3. Here, you want to find m (distance). It is given that C(m) = 37.45 (this is the total cost from equation (1). Subtract 24.95 from C(m) to isolate the 0.05(m) part. Thus, 0.05(m) = 37.45 - 24.95 = 12.5. Here, simply divide 12.5 by 0.05 to obtain m, which is 250 miles.
Answer:
x f(x) g(x)
-2 6 1/9
-1 10 1/3
0 14 1
1 18 3
2 22 9
Step-by-step explanation:
Model for a linear function:
f(x) = ax + b
Using the points (-2, 6) and (0,14), we can find the values of a and b:
6 = -2a + b
14 = 0a + b
b = 14
From the first equation:
6 = -2a + 14
2a = 8
a = 4
So we have that f(x) = 4x + 14
Now we find the values of f(x) for x = -1, x = 1 and x = 2:
f(-1) = -4 + 14 = 10
f(1) = 4 + 14 = 18
f(2) = 8 + 14 = 22
Model for exponencial equation:
g(x) = a*b^x
Using the points (-2, 1/9) and (-1,1/3), we can find the values of a and b:
1/9 = a*b^(-2)
1/3 = a*b^(-1)
Dividing the second equation by the first, we have:
b = (1/3) / (1/9) = 3
From the second equation:
1/3 = a * b^(-1)
1/3 = a * 1/3
a = 1
So we have that:
g(x) = 3^x
Now we find the values of g(x) for x = 0, x = 1 and x = 2:
g(0) = 3^0 = 1
g(1) = 3^1 = 3
g(2) = 3^2 = 9