Two years after it’s purchase, if manuel’s gift card is unused, the automatic decrease on the gift card balance is given by the equation b = 50 - 5m, where m is the number of months beyond two years.

is this model of the siu action linear? if it is, what are the slope and y-intercept?

a. linear: slope = -10, y-intercept = 5
b. linear: slope = -50, y-intercept = 5
c. linear: slope = -5, y-intercept = 50
d. not linear

Option C. linear: slope = -5, y-intercept = 50

Step-by-step explanation:

Let

b ----> is the automatic decrease on the gift card balance

m ---->  is the number of months beyond two years

we know that

The equation of the line into slope intercept form is equal to

where

m is the slope

b is the y-intercept

In this problem the linear equation that represent this situation is

---> equation of the line into slope intercept form

so

The slope is -5

The y-intercept is 50

ou would have 12 of each

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.