In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of
feet that the top of the bridge was above the water versus the
amount of minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete the table to determine the rate of
change for the drawbridge (in feet per minute) at each of the specified intervals.
amount of minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete the table to determine the rate of
change for the drawbridge (in feet per minute) at each of the specified intervals.
1 answer:
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Answer:
<u>Given triangle:</u>
- ΔXYZ
- X(-1,2), Y(2,1), Z(-1, -2)
<u>D₀.₅(ΔXYZ) results in:</u>
- (x, y) → (0.5x, 0.5y)
- X'(-0.5, 1), Y'(1, 0.5), Z(-0.5, -1)
Y+4<u><</u>9
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)
6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)
-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )
I have included pictures of the number lines
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)
6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)
-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )
I have included pictures of the number lines