Question

Mikaela has been tracking her basketball stats for the last week. She started shooting hoops today having already made 3200 baskets thisweek. She tracks how many baskets she has made in the next 30 minutes. If she continues shooting, how many baskets will she have made ifshe continues for one hour today? Write a linear equation with the variablet for time, then solve for the number of baskets.start 320010 min 322520 min 325030 min 327540 min 3300

Answer 1

Given:

Mikaela has been tracking her basketball stats for the last week.

We need to write a linear equation with the variable t for time

Let the equation has the form: y = m * t + b

Where y is the number of baskets she has made

She started shooting hoops today having already made 3200 baskets this

week.

so, at t = 0 , y = 3200

so, the value of b = 3200

We will find the value of m using the given table:

start 3200

10 min 3225

20 min 3250

30 min 3275

40 min 3300

So, the value of m = (3250 - 3225)/(20 - 10) = 25/10 = 2.5

So, the equation will be:

`y=2.5t+3200`

Now, we will find how many baskets will she have made if

she continues for one hour today?

So, we will substitute with t = 60 min into the last equation

So,

`y=2.5\cdot60+3200=3350`

So, she will make 3350 baskets