the amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed. Suppose a car used 25 liters on a 100 km trip at 100kph, about how many liters will it use on 1000 km trip at 64 kph?

200 litres

Step-by-step explanation:

let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is

g = kd ← k is the constant of variation

To find k use g = 25, d = 100 and s = 100, then

25 = k × 100 × = k × 100 × 10 = 1000k ( divide both sides by 1000 )

0.025 = k

g = 0.025d ← equation of variation

When d = 1000 and s = 64, then

g = 0.025 × 1000 × = 0.025 × 1000 × 8 = 200

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

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