On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.

If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

Let

s ----> the speed in units per second

d ---> the distance in units

t ---> is the time in seconds

BUG A

we have

The speed is equal to

substitute

If x is the point reached by A after t seconds

then

Multiply the speed by the time

BUG B

we have

The speed is equal to

substitute

If y is the point reached by B after t seconds

then

Multiply the speed by the time

 ----> is negative because B is moving in the negative direction

x = 6t

y = 5t

Step-by-step explanation:

We know the distance formula:

D = RT

Where

D is distance

R is speed

T is time

Bug A went 18 units after 3 seconds, so the speed is:

18 = R(3)

R = 18/3

R = 6 unit/sec

Bug B went 15 units in 3 seconds, so the speed is:

15 = R(3)

R = 15/3

R = 5 units/sec

x is reached by A after 3 seconds, so

x = 6t

y is reached by B after 3 seconds, so

y = 5t

if x decreases by 4 then y increases by 10

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt