Question

Solve each real-world problem below, showing all of your work. You must state the starting amount and rate of change for each problem. You must also write the linear equation used to solve the problem. The memory card in Carla's camera can hold 1,024 pictures. On April 30th, Carla sees that she has 235 pictures on the memory card. She plans to take 35 pictures each day in the month of May. How many pictures will Carla have on the memory card on May 16th? On what day will the memory card be full?   ​

Answer 1

Carla would have about 795 pictures on May 16th.

Linear equation

A linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the number of pictures after x days.

At April 30th, Carla sees that she has 235 pictures, hence b = 235. Also,  she takes 35 pictures each day, hence m = 35. The equation is:

y = 35x + 235

On May 16th, x = 16 hence:

y = 35(16) + 235 = 795

Carla would have about 795 pictures on May 16th.

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