Answer:
y = x + 1
Step-by-step explanation:
We are using the points (0, 1) and (6, 7). First, use these points to find the slope.
m = y₁ - y₂/x₁ - x₂
⇒ m = 7 - 1/6 - 0
⇒ m = 6/6
⇒ m = 1
Now that we know the slope is one, enter the values into the point-slope form equation. I'll use (0, 1) in this instance.
y - y₁ = m(x - x₁)
⇒ y - 1 = 1(x - 0)
⇒ y - 1 = x
⇒ y = x + 1
Therefore, the equation is y = x + 1.
The statement suppose <span>that r varies directly with s and inversely with t is best represented as:
r </span>α s/t
To make it into equality, we insert a proportionality constant, k:
r = ks/t
Using the initial conditions, we solve for k.
r = ks/t
<span>r = 2 when s = 3 and t = 12
2 = k(3)/12
k = 8
Thus, when </span><span>s = 5 and t = 4,
</span>
r = 8(5)/4
r = 10 -----> OPTION C
"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.
The given values are:
- Base fare per ride = $2.75
- Discount = 5%
- Weekly unlimited Metro Card costs = $32
The Fare after discount will be:
= 
= 
= 
=
($)
hence,
In $32, the minimum number of rides will be:
= 
= 
or,
= 13
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Answer:
7.3
Step-by-step explanation:
time is distance divided by velocity/speed
t = 220/30
t = 7.33333 = 7.3
In step 3, Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25