Will mark ! the value of motorbikes decrease each year after purchase. the scatter plot shows the value of the bike (in thousands) over the number of years from first purchase.

a)   v = -t + 11 . . . . . . v = value in thousands; t = years

b) in year 0, the value is about 11,000; the decrease is about 1,000 per year.

Step-by-step explanation:

a) The line on the graph appears to go through the points (1, 10) and (10, 1). Then the slope ∆y/∆x is (1-10)/(10-1) = -9/9 = -1. The point 1 unit up and 1 unit left of the point (1, 10) is (0, 11), the y-intercept. Using v (value, in thousands) for the vertical variable and t (time, in years) for the horizontal variable, the equation is ...

  v = -t + 11

b) The y-intercept is the initial value: 11,000. The slope is the decrease per year: 1,000 per year.

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

a. she will receive a refund of $278.

step-by-step explanation: