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:
3/8
Step-by-step explanation:
3 1/3 = 10/3
1 1/4 = 5/4
Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.
so
(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)
= (3 x 5) / (10 x 4) = 15 / 40
the numerator and denominator have a common factor of 5 so divide the numerator and denominator by 5
15 / 40 = 3/8
Answer:
DONT KNOW TO BE HONEST SEVRS ARE SWAMPED
Step-by-step explanation:
The equation given in the question is
y = 2.54 x
In this equation, x is in cm and y is in inches
Size of the ruler = 1 foot
= 12 inches.
Putting the value of 12 inches in the equation, we get
y = 2.54x
= 2.54 * 12
= 30.48 cm
From the above deduction, we can conclude that the length of the ruler is 30.48 cm. I hope that this is answer that you were looking for and the answer has come to your desired help.
Answer:
Option C is correct
Step-by-step explanation:
In this question, we are asked to select which of the options have the same value as 7/3
We examine the options one urge other.
Option A
9/49; This is wrong as it cannot be divided further to yield while multiples
Option B
18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too
Option C
42/18; dividing through by 6 will yield 7/3 which makes this option correct
Option D
49/9; This is a dead end as it cannot be divided further to give whole number multiples
