Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Answer:
y=2x^2-8x+10
Step-by-step explanation:
y=2x^2-8x+10
vertex (2,2)
y=a(x-h)^2+k
y=2(x-2)^2+10
Answer: PLEASE GIVE BRAINLIEST
72 integers
Step-by-step explanation:
Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.
Answer:
100x+120y = z
z= $ 63000
Step-by-step explanation:
Product Welding Assembly Painting Cont. to profit
X 2x hours 3x hours 1xhour = $100x
Y 3y hours 2y hours 1y hour = $120y
<u> </u>
Total hours 1500 hours 1500 hours 550 hours
available
Let X represent product X
Let Y represent Product Y
2x + 3y = 1500
x + y = 550
y= 550-x
2x + 3(550-x) = 1500
2x + 1650- 3x = 1500
150 = x
y = 550-150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120( 400)
Z = 15000+48000
Z = $63000
