The stack of pennies is an illustration of linear equation.
(a) Complete the table
From the question, we have:
[tex]Start = 5[/tex] ---- the number of penny he started with
[tex]Thick = 1.52[/tex] --- the thickness of a penny
The height of n pennies is calculated using:
[tex]h(n) = (Start + n) \times Thick[/tex]
So, we have:
[tex]h(n) = (5 + n) \times 1.52[/tex]
Open bracket
[tex]h(n) = 7.6 + 1.52n[/tex]
When n = 0;
[tex]h(0) = 7.6 + 1.52 \times = 7.6[/tex]
When n = 1;
[tex]h(1) = 7.6 + 1.52 \times 1 = 9.12[/tex]
When n = 2
[tex]h(2) = 7.6 + 1.52 \times 2= 10.64[/tex]
When n = 3
[tex]h(2) = 7.6 + 1.52 \times 3= 12.16[/tex]
So, the complete table is:
[tex]\left[\begin{array}{ccccc}n&0&1&2&3\\h(n)&7.6&9.12&10.64&12.16\end{array}\right][/tex]
(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:
https://brainly.com/question/11897796
