No. The input a has multiple outputs
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:
Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t
Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0
Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles
So after 70 min's of driving, Dale will be 36.5 miles from his destination.
Answer:
I think it is the option c.
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Answer:
42 yards 2 feet 11 inches
Step-by-step explanation:
Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.
She has to repair 17 cartons.
The amount of twine needed to wrap 17 cartons
= (2 yards 1 foot 7 inches) x 17
= 34 yards 17 feet 119 inches
Now let's convert the answer to larger units
1 yard = 36 inches
1 yard = 3 feet
Convert 119 inches to yards
119 inches = 3 yards 11 inches
17 feet = 5 yards 2 feet
Therefore, 34 yards 17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet 11 inches
Answer = 42 yards 2 feet 11 inches
Thank you.
Answer:
The Yellow card is used as a warning as a result of the actions of a player on the field
