Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.

Step-by-step explanation:

Given

Required

Determine the function

From the question, we have:

This is represented as:

or

If he spends 20 minutes on 1 figurine;

Multiply both sides by 3

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

or

So, we have:

and

Calculate the slope (m)

The equation is then calculated as;

To solve for c, we have:

So, we have:

Add 3 toboth sides

Hence, the equation is:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

answer: 177/8

step-by-step explanation: