# math

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. Assume that an ant’s constant of proportionality is 18.

If an ant walks for 10 minutes, how far will it travel in meters?

If an ant traveled 22.5 meters, how long did it walk?

What does the constant of proportionality represent in this problem?

1. 👍 1
2. 👎 0
3. 👁 759
1. d = k t
d in meters
t in HOURS !
so d = 18 t
=================== now it gets tricky because we need t in hours
10 minutes = 10/60 = 1/6 hours
d = 18 (1/6) = 3 meters
========================
22.5 = 18 t
t = 1.25 hours
=======================
speed in meters per hour

Meters per minute would make more sense. I do not like your problems much.

1. 👍 0
2. 👎 0
👨‍🏫
Damon
2. they told you that d = 18t
now what?

1. 👍 0
2. 👎 0
👨‍🏫
oobleck
3. Thank you

1. 👍 0
2. 👎 0
4. You are welcome.

1. 👍 0
2. 👎 0
👨‍🏫
Damon
5. ANT

1. 👍 0
2. 👎 1

## Similar Questions

1. ### math

t varies directly as the square root of l. If l=81, then t=10 what is the constant proportion? 1. a is directly proportional to b. If a = 15, then b = 9 2. M varies directly as n. If n = 2/3, then m = 1/4 3. T varies as the square

2. ### physics

An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to

3. ### Math

DIRECT VARIATION 1. a is directly proportional to b.If a=15,then b=9 2. m varies directly as n.If n=2/3,then m=1/4 3. T varies as the square root of L. If L=81,then T=10 4.r varies directly as the square of t. If t=16,then r=6. 5.

4. ### 8th grade math - Variations

Can you check the following, please? 1. Two minutes after a skydiver opens his parachute, he has descended 1900 feet. After 5 minutes, he descended 4750 feet. If distance varies directly with the time, at what rate is skydiver

1. ### math

The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 40 mph can stop in 100 ​ft, how fast can a car travel and still stop in 256 ​ft?

2. ### math

Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 64cm when the weight is 3kg, what is the distance when the wight is 9kg?

3. ### math

A drivers distance varies directly as the amount of time traveled. After six hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?

4. ### Pre-Algebra

If y varies directly with x, find the constant of variation with x = 4 and y = -24 If y varies inversely with x, find the constant of variation with x=5 and y = 10 If y varies directly with x, and y = 35 when x = 5 , find x when y

1. ### math 1

Wei received \$55.35 in interest on the \$1230 in her credit union account. If the interest varies directly with the amount deposited , how much would Wei receive for the same amount of time If she had \$2000 in the account?

2. ### Math

The graph shows that the amount of water in a person's body varies directly with the person's mass. What is the ratio of the vertical distance to the horizontal distance on the graph between the points (15, 10) and (30, 20) ?

3. ### Math

An ant is on top of a tree 23 meters tall, directly above her home, which is 0.3 meters below the ground. What is an expression that represents the difference in elevation between the ant and her home?

4. ### Math

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. Assume that an ant’s constant of proportionality is 18. Write an equation to represent the proportional