Answer:
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Step-by-step explanation:
Given that,
The function that models the production cost is
To find the number of t-shirt, we put f(t)=40 in given function.
∴40= 0.1t²-6t+100
⇒ 0.1t²-6t+100-40=0
⇒0.1 t²- 6t +60=0
⇒t²-60t+600=0
Applying quadratic formula 
, a=1, b= - 60 and c=600
= 47.32,12.67
≈47, 12
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Answer:
See image
Step-by-step explanation:
In the table, it shows the x values and the corresponding y values under it [aka f(x)].
The problem is basically asking which equation, a,b,c or d will get the y values with the x values.
we can try this with x value 3 and y value 7
a. 3^x=3^3=3*3*3=27
27 is so far away from 7 so a must be wrong
b.3x=3*3=9
still not 7 therefore b is also wrong
c. 2^x-1= 2^3-1=8-1=7
7=7 therefore this one might be right, but to make sure we have to check if d is correct or not
d. 2x+1=2*3+1=7
7=7 so d is also correct for the first set of values.
Next we should use the next available values until one of the answers c or d is confirmed wrong
x value 4 and y value 15
c. 2^4-1=16-1=15
15=15
d. 2x+1=8+1=9
9 does not work
Therefore, the answer should be c.
