Question

2. Diego is making a stack of pennies. He starts with 5 and then adds them 1 at a time. A penny is 1.52 mm

Answer 1

The stack of pennies is an illustration of linear equation.

• The equation for n pennies is: $h(n) = 7.6 + 1.52n$.
• h(1.52) does not make sense

(a) Complete the table

From the question, we have:

$Start = 5$ ---- the number of penny he started with

$Thick = 1.52$ --- the thickness of a penny

The height of n pennies is calculated using:

$h(n) = (Start + n) \times Thick$

So, we have:

$h(n) = (5 + n) \times 1.52$

Open bracket

$h(n) = 7.6 + 1.52n$

When n = 0;

$h(0) = 7.6 + 1.52 \times = 7.6$

When n = 1;

$h(1) = 7.6 + 1.52 \times 1 = 9.12$

When n = 2

$h(2) = 7.6 + 1.52 \times 2= 10.64$

When n = 3

$h(2) = 7.6 + 1.52 \times 3= 12.16$

So, the complete table is:

$\left[\begin{array}{ccccc}n&0&1&2&3\\h(n)&7.6&9.12&10.64&12.16\end{array}\right]$

(b) Does h(1.52) make sense

h(1.52) does not make sense.

This is so because:

n will always be a whole number because it represents the number of pennies

Read more about linear equations at:

brainly.com/question/11897796