Answer: If the ratio is 1:78, a) the Cutty Sark is 3510 inches long or 292.5 ft; b) the Cutty Sark is 2028 inches tall or 169 ft according to this model
Step-by-step explanation: The ratio indicates that for every inch of the model, it corresponds to 78 inches of the actual size. If the length is 45 inches for the model, it would be an equivalent of 45*78 of the actual size = 3510 inches. The same can be applied to the height. Multiplying 26 x 78, the actual size should have a height of 2028 inches.
Answer:
Step-by-step explanation:
Part A
We will use the slope intercept form of the line and then convert later.
Equation
y = mx + b is the general form
Givens
Two data points
(4,180)
(9,325)
Solution
325 = 9x + b
<u>180 = 4x + b</u> Subtract
145 = 5x Divide by 5
145/5 = 5x/5 Do the division
29 = x This represents the cost / day
180 = 4x + b Substitute x = 29 to find b
180 = 4*29 + b Combine
180 = 116 + b Subtract 116 from both sides.
180 - 116 = b
64 = b
Solution for y = mx + b
y = 29x + 64
In Standard form this is
- 29x + y = 64 But the first number must be plus
29x - y = - 64 <<<< Answer A
Part B
y = 29x + 64
f(x) = 29x + 64
Part C
The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.
The rate of Car A is x
The rate of Car B is x - 5
They travel the same distance. So we can make an equation:
4(x) = 4.5(x-5)
Solve for x.
4(x) = 4.5(x-5)
4x = 4.5x - 22.5
Subtract 4.5x on both sides
-0.5x = -22.5
Divide by -0.5 on both sides
x = 45
But we want the speed of Car B which is x - 5
So Car B's speed is 45 - 5 = 40
Your answer is 40
Answer:
y=-2/3x-3
Explanation
X=$20/$4
x=5 gallons
x is the amount of gallons.
1 gallon=32 miles
5 gallons=160 miles
Margie can drive 160 miles on $20 of gas