the variable t represents the number of (type the word) if t = 4 then m(t) = (type the number) if m(t) = 300…

the variable t represents the number of (type the word) if t = 4 then m(t) = (type the number) if m(t) = 300 then t = (type the number)

the variable t represents the number of (type the word) if t = 4 then m(t) = (type the number) if m(t) = 300 then t = (type the number)

Answer

Explanation:

Step1: Determine the meaning of variable ( t )

From the context "spending ( $400 ) each week", and the function ( M(t)=- 400t + 3500 ), ( t ) represents the number of weeks.

Step2: Calculate ( M(t) ) when ( t = 4 )

Substitute ( t = 4 ) into the function ( M(t)=-400t + 3500 ). [ \begin{align*} M(4)&=-400\times4+3500\ &=-1600 + 3500\ &=1900 \end{align*} ]

Step3: Calculate ( t ) when ( M(t)=300 )

Set ( M(t) = 300 ) in the function ( M(t)=-400t + 3500 ), then solve for ( t ). [ \begin{align*} 300&=-400t+3500\ 400t&=3500 - 300\ 400t&=3200\ t&=\frac{3200}{400}\ t&=8 \end{align*} ]

Answer:

weeks 1900 8