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:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
Just add the numbers then subtract from 12
Answer:
B) 45 cats
Step-by-step explanation:
3/(3+5) = 3/8
3/8 of the animals are cats
3/8 × 120
45
