Help me out please thanks

Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in

tatuchka [14]

Answer:

The equation representing how old Monique son is $\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

$q(t) = \hat q \times t + q_o$

where;

$q_o$ = initial height of Monique's son

$\hat q$ = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

$\hat q = 2 \dfrac{5}{8} \ in/yr$

$\hat q = \dfrac{21}{8} \ in/yr$

Then; from the equation $q(t) = \hat q \times t + q_o$

$34 = \dfrac{21}{8} \times 0 + q_o$

$q_o = 34\ inches$

The height of the son as a function of the age can now be expressed as:

$q(t) = \dfrac{21}{8} \times t + 34$

Then:

Making t the subject;

$q - 34 = \dfrac{21}{8} \times t$

$t = \dfrac{8}{21}(q-34)$

and the age of the son i.e. ( a (in years)) is:

a = 2 + t

So;

$\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

SO;

if q (growth rate) = 50 inches tall

Then;

$\mathbf{a = 2 + \dfrac{8}{21}(50-34)}$

$\mathbf{a = 2 + \dfrac{8}{21}(16)}$

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0

2 years ago

If m<1=4x+2and m<2=110 what is x

Rina8888 [55]

Answer:

4x2+110=180

4x=68

x=17

4 0

3 years ago

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T

Simora [160]

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

5 0

2 years ago

Graph the set. in number line<br> (1, ∞) ∩ (−10, ∞)

svlad2 [7]

See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)

<h3>How to graph the set on a number line?</h3>

The set is given as:

(1, ∞) ∩ (−10, ∞)

The above means that the numbers inclusive in the set are numbers between the following set:

(1, ∞): All real numbers greater than 1
(−10, ∞): All real numbers greater than -10

The intersection of the above set is (1, ∞)

This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1

Having done the above illustration, next we plot the set on a number line

See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)