## Question

###### Use the Tangent feature from the DRAW menu to find the rate of change in part (b). Perriot's Restaurant purchased kitchen equipment on January 1,2014 . The value of the equipment decreases by $15 \%$ every year. On January $1,2016,$ the value was $\$ 14,450 .$ a) Find an exponential model for the value, $V,$ of the equipment, in dollars, $t$ years after January 1 $2016 .$ b) What is the rate of change in the value of the equipment on January $1,2016 ?$ c) What was the original value of the

Use the Tangent feature from the DRAW menu to find the rate of change in part (b). Perriot's Restaurant purchased kitchen equipment on January 1,2014 . The value of the equipment decreases by $15 \%$ every year. On January $1,2016,$ the value was $\$ 14,450 .$ a) Find an exponential model for the value, $V,$ of the equipment, in dollars, $t$ years after January 1 $2016 .$ b) What is the rate of change in the value of the equipment on January $1,2016 ?$ c) What was the original value of the equipment on January $1,2014 ?$ d) How many years after January 1,2014 will the value of the equipment have decreased by half?

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