Eric has a gift card to his favorite restaurant. every tuesday he has the same meal at the restaurant. this table shows the balance of money in dollars left on eric’s gift card at different times. time (weeks) 2 4 6 8 balance ($) 125 100 75 50 what is the equation that represents eric’s gift card balance, where x represents the time and y represents the balance? enter your answers in the boxes. y−100= (x− )

Answer-

Solution-

We can generate an equation that will represent Eric’s gift card balance, by taking two points from the table and applying two point formula to get the linear relationship between card balance and time.

Taking the time on abscissa and card balance on ordinate, the two points would be (2, 125), (4, 100)

This is the equation for the Eric’s gift card balance.

Comparing this equation with general slope-intercept equation of the line, we get

Applying point-slope formula taking point as (4, 100), we get

This is the desired equation.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12