Jay received a $34 gift card for a local coffee shop. Every day he spends $2 for a cup of coffee. Write and equation that models the balance of his gift card, Y. as a function of time in day, x.

 Y=34-(2x)

Step-by-step explanation:

gift card balance would be $2 per number of days (2x) subtracted from original amount of $34...

Y=34-(2x)

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.