Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
Answer:
50%
Step-by-step explanation:
The scale factor of DEFG to PQRS is: 3/8.
<h3>What is a Scale Factor?</h3>
- A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
- Scale factor is ratio of corresponding side of new figure to original figure.
Thus:
DE corresponds to PQ.
PQRS is the new figure.
DE = 8; PQ = 3
Scale factor of DEFG to PQRS = PQ/DE
Scale factor = 3/8.
Thus, the scale factor of DEFG to PQRS is: 3/8.
Learn more about scale factor on:
brainly.com/question/2826496
Answer:
177.0
Step-by-step explanation:
176.576 --> 176.58 --> 177.6 --> 177.0
