The answer would be “Greater than.”
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:
2,75in
4,25in
33in²
Step-by-step explanation:
shorter base is 2,75in
larger base is 4,25in
S=11+10,5+9+2,5=33in²
Answer:
Lets say test tubes = t, and beakers = b
1 pack of (t) is $4 less than 1 pack of (b)
Since i have no prior information we are going to use variables for this equation:
1t (1 pack of test tubes) is $4 less than 1b (1 set of beakers)
so to quantify the equation, we have 8t and 12b.
if b is a number that IS quantifiable such as $5 we can easily figure out this answer.
Lets use and example that 1 set of beakers is $8, if we multiply $8 by 12 (the number of sets of beakers), we get: 96
Using the same example, if 1t is $4 less than 1b than 1t = $4. So, if we multiply $4 by 8 (the amount of packs of test tubes), we get: 32
If you take both of those numbers: 96, and 32 and you divide them you get 3. so that means that 1t = 3b
Answer = 1t = 3b
This may not be correct due to the little information that i got however i hope that, that works out for you :)
