Answer:
Part 1) The rate is 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
A cyclist rides her bike at a rate of 12 meters per second
Remember that
1 hour=3,600 seconds
1 kilometer=1,000 meters
therefore

Part 2) How many kilometers will the cyclist travel in 3 hours?
using proportion

<span>15n - 2n = 6 - n
13n = 6 - n
14n = 6
n = 6/14
n = 3/7</span>
<span>y = 3x - 4
</span><span>(4,2); when x = 4; y = 3(4) - 4 = 9 ........FALSE
(1, -1)</span>; when x = 1; y = 3(1) - 4 = -1 ........TRUE<span>
(-1, -7)</span>; when x = -1; y = 3(-1) - 4 = -7 ........TRUE<span>
(2, 2)</span>; when x = 2; y = 3(2) - 4 = 2 ........TRUE
answer
(1, -1)
(-1, -7)
(2, 2)
We are given dimension of billboard as 30 feet by 18ft.
since billboard is a rectangle so Area =l *b
Area of billboard = 30*18=540 feet square
1 gallon of paint covers 250 square feet
so for 540 square feet paint needed = 540/250 = 2.16 gallons
Answer: 2.16 gallons should be purchased to cover the entire billboard