Write h(t) for the amount spent in the united states on health care in year t, where t is measured in years since 2000. the rate of increase of h(t) was projected to rise from $100 billion per year in 2000 to approximately $190 billion per year in 2010. find a linear model for the rate of change h'(t)

Linear model and H'(t) = 9 units.

Step-by-step explanation:

Since we have given that

In 2000, amount spent = $100 billions

In 2010, amount spent = $190 billions.

So, rate of increase would be

So, linear model for H(t) would be

So, H'(t) would be 9.

Hence, linear model and H'(t) = 9 units.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3