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Sagot :
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:
[tex]y=2.5t+3200[/tex]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,
[tex]y=2.5\cdot60+3200=3350[/tex]So, she will make 3350 baskets
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