11) you have $75 in savings and your brother has $120 in savings. if you saving $15 a week and your brother savings $6 a week. how long will it be before both of you have the same amount of money in savings?

5 weeks

Step-by-step explanation:

In order to solve for the amount of time it would take for both you and your brother to reach the same amount in savings, you need to set up an expression for each person.  You save $15 a week plus you start with $75, so:

You: 15x + 75

Your brother only saves $6 a week, but starts with $120, so:

Brother: 6x + 120

If 'x' is the number of weeks in both equations, we can set the expressions equal to each other to find out how many weeks until both of your accounts are equal:

15x + 75 = 6x + 120

Subtract '6x' from both sides: 15x - 6x + 75 = 6x + 120 - 6x or 9x + 75 = 120

Subtract '75' from both sides: 9x + 75 - 75 = 120 - 75 or 9x = 45

Divide and solve for x: 9x/9 = 45/9 or x = 5 weeks

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constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.